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Finding the Fourth Proportional to 10,708.72, 16,022.76 and 7,428.16

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Solution

The fourth proportional to 10,708.72, 16,022.76 and 7,428.16 is: 11,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.72 : 16,022.76 = 7,428.16 : x
  2. Step 2: Convert to fraction form
    10,708.72/16,022.76 = 7,428.16/x
  3. Step 3: Cross multiply
    10,708.72x = 16,022.76 × 7,428.16
  4. Step 4: Simplify right side
    10,708.72x = 119,019,624.92
  5. Step 5: Solve for x
    x = 119,019,624.92/10,708.72
  6. Step 6: Final answer
    x = 11,114.27

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