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Finding the Fourth Proportional to 10,757.88, 14,847.27 and 6,042.16

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Solution

The fourth proportional to 10,757.88, 14,847.27 and 6,042.16 is: 8,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.88 : 14,847.27 = 6,042.16 : x
  2. Step 2: Convert to fraction form
    10,757.88/14,847.27 = 6,042.16/x
  3. Step 3: Cross multiply
    10,757.88x = 14,847.27 × 6,042.16
  4. Step 4: Simplify right side
    10,757.88x = 89,709,652.55
  5. Step 5: Solve for x
    x = 89,709,652.55/10,757.88
  6. Step 6: Final answer
    x = 8,338.97

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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.