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Finding the Fourth Proportional to 11,048.39, 16,578.66 and 5,204.85

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Solution

The fourth proportional to 11,048.39, 16,578.66 and 5,204.85 is: 7,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.39 : 16,578.66 = 5,204.85 : x
  2. Step 2: Convert to fraction form
    11,048.39/16,578.66 = 5,204.85/x
  3. Step 3: Cross multiply
    11,048.39x = 16,578.66 × 5,204.85
  4. Step 4: Simplify right side
    11,048.39x = 86,289,438.50
  5. Step 5: Solve for x
    x = 86,289,438.50/11,048.39
  6. Step 6: Final answer
    x = 7,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.