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Finding the Fourth Proportional to 10,557.72, 14,568.93 and 5,842.17

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Solution

The fourth proportional to 10,557.72, 14,568.93 and 5,842.17 is: 8,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.72 : 14,568.93 = 5,842.17 : x
  2. Step 2: Convert to fraction form
    10,557.72/14,568.93 = 5,842.17/x
  3. Step 3: Cross multiply
    10,557.72x = 14,568.93 × 5,842.17
  4. Step 4: Simplify right side
    10,557.72x = 85,114,165.78
  5. Step 5: Solve for x
    x = 85,114,165.78/10,557.72
  6. Step 6: Final answer
    x = 8,061.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.