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Finding the Fourth Proportional to 11,332.68, 15,640.16 and 6,857.54

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Solution

The fourth proportional to 11,332.68, 15,640.16 and 6,857.54 is: 9,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.68 : 15,640.16 = 6,857.54 : x
  2. Step 2: Convert to fraction form
    11,332.68/15,640.16 = 6,857.54/x
  3. Step 3: Cross multiply
    11,332.68x = 15,640.16 × 6,857.54
  4. Step 4: Simplify right side
    11,332.68x = 107,252,910.32
  5. Step 5: Solve for x
    x = 107,252,910.32/11,332.68
  6. Step 6: Final answer
    x = 9,464.04

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