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Finding the Fourth Proportional to 10,665.57, 15,997.60 and 4,000.69

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Solution

The fourth proportional to 10,665.57, 15,997.60 and 4,000.69 is: 6,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.57 : 15,997.60 = 4,000.69 : x
  2. Step 2: Convert to fraction form
    10,665.57/15,997.60 = 4,000.69/x
  3. Step 3: Cross multiply
    10,665.57x = 15,997.60 × 4,000.69
  4. Step 4: Simplify right side
    10,665.57x = 64,001,463.34
  5. Step 5: Solve for x
    x = 64,001,463.34/10,665.57
  6. Step 6: Final answer
    x = 6,000.75

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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.