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Finding the Fourth Proportional to 6,575.88, 9,082.43 and 6,042.80

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Solution

The fourth proportional to 6,575.88, 9,082.43 and 6,042.80 is: 8,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.88 : 9,082.43 = 6,042.80 : x
  2. Step 2: Convert to fraction form
    6,575.88/9,082.43 = 6,042.80/x
  3. Step 3: Cross multiply
    6,575.88x = 9,082.43 × 6,042.80
  4. Step 4: Simplify right side
    6,575.88x = 54,883,323.16
  5. Step 5: Solve for x
    x = 54,883,323.16/6,575.88
  6. Step 6: Final answer
    x = 8,346.15

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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.