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Finding the Fourth Proportional to 11,854.38, 16,358.25 and 6,549.15

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Solution

The fourth proportional to 11,854.38, 16,358.25 and 6,549.15 is: 9,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.38 : 16,358.25 = 6,549.15 : x
  2. Step 2: Convert to fraction form
    11,854.38/16,358.25 = 6,549.15/x
  3. Step 3: Cross multiply
    11,854.38x = 16,358.25 × 6,549.15
  4. Step 4: Simplify right side
    11,854.38x = 107,132,632.99
  5. Step 5: Solve for x
    x = 107,132,632.99/11,854.38
  6. Step 6: Final answer
    x = 9,037.39

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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.