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Finding the Fourth Proportional to 11,740.92, 16,207.68 and 7,497.54

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Solution

The fourth proportional to 11,740.92, 16,207.68 and 7,497.54 is: 10,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.92 : 16,207.68 = 7,497.54 : x
  2. Step 2: Convert to fraction form
    11,740.92/16,207.68 = 7,497.54/x
  3. Step 3: Cross multiply
    11,740.92x = 16,207.68 × 7,497.54
  4. Step 4: Simplify right side
    11,740.92x = 121,517,729.11
  5. Step 5: Solve for x
    x = 121,517,729.11/11,740.92
  6. Step 6: Final answer
    x = 10,349.93

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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.