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Finding the Fourth Proportional to 10,542.97, 14,548.89 and 6,068.16

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Solution

The fourth proportional to 10,542.97, 14,548.89 and 6,068.16 is: 8,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.97 : 14,548.89 = 6,068.16 : x
  2. Step 2: Convert to fraction form
    10,542.97/14,548.89 = 6,068.16/x
  3. Step 3: Cross multiply
    10,542.97x = 14,548.89 × 6,068.16
  4. Step 4: Simplify right side
    10,542.97x = 88,284,889.26
  5. Step 5: Solve for x
    x = 88,284,889.26/10,542.97
  6. Step 6: Final answer
    x = 8,373.82

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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.