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Finding the Fourth Proportional to 7,810.45, 10,777.88 and 4,453.40

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Solution

The fourth proportional to 7,810.45, 10,777.88 and 4,453.40 is: 6,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.45 : 10,777.88 = 4,453.40 : x
  2. Step 2: Convert to fraction form
    7,810.45/10,777.88 = 4,453.40/x
  3. Step 3: Cross multiply
    7,810.45x = 10,777.88 × 4,453.40
  4. Step 4: Simplify right side
    7,810.45x = 47,998,248.87
  5. Step 5: Solve for x
    x = 47,998,248.87/7,810.45
  6. Step 6: Final answer
    x = 6,145.39

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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.