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Finding the Fourth Proportional to 10,713.72, 16,030.26 and 7,433.16

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Solution

The fourth proportional to 10,713.72, 16,030.26 and 7,433.16 is: 11,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.72 : 16,030.26 = 7,433.16 : x
  2. Step 2: Convert to fraction form
    10,713.72/16,030.26 = 7,433.16/x
  3. Step 3: Cross multiply
    10,713.72x = 16,030.26 × 7,433.16
  4. Step 4: Simplify right side
    10,713.72x = 119,155,487.42
  5. Step 5: Solve for x
    x = 119,155,487.42/10,713.72
  6. Step 6: Final answer
    x = 11,121.77

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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.