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Finding the Fourth Proportional to 7,843,221.11, 10,823,907.68 and 4,358,706.77

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Solution

The fourth proportional to 7,843,221.11, 10,823,907.68 and 4,358,706.77 is: 6,015,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,221.11 : 10,823,907.68 = 4,358,706.77 : x
  2. Step 2: Convert to fraction form
    7,843,221.11/10,823,907.68 = 4,358,706.77/x
  3. Step 3: Cross multiply
    7,843,221.11x = 10,823,907.68 × 4,358,706.77
  4. Step 4: Simplify right side
    7,843,221.11x = 47,178,239,606,757.92
  5. Step 5: Solve for x
    x = 47,178,239,606,757.92/7,843,221.11
  6. Step 6: Final answer
    x = 6,015,161.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.