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Finding the Fourth Proportional to 10,665.10, 15,997.65 and 5,737.06

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Solution

The fourth proportional to 10,665.10, 15,997.65 and 5,737.06 is: 8,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.10 : 15,997.65 = 5,737.06 : x
  2. Step 2: Convert to fraction form
    10,665.10/15,997.65 = 5,737.06/x
  3. Step 3: Cross multiply
    10,665.10x = 15,997.65 × 5,737.06
  4. Step 4: Simplify right side
    10,665.10x = 91,779,477.91
  5. Step 5: Solve for x
    x = 91,779,477.91/10,665.10
  6. Step 6: Final answer
    x = 8,605.59

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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.