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Finding the Fourth Proportional to 11,523.28, 17,280.57 and 3,730

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Solution

The fourth proportional to 11,523.28, 17,280.57 and 3,730 is: 5,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.28 : 17,280.57 = 3,730 : x
  2. Step 2: Convert to fraction form
    11,523.28/17,280.57 = 3,730/x
  3. Step 3: Cross multiply
    11,523.28x = 17,280.57 × 3,730
  4. Step 4: Simplify right side
    11,523.28x = 64,456,526.10
  5. Step 5: Solve for x
    x = 64,456,526.10/11,523.28
  6. Step 6: Final answer
    x = 5,593.59

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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.