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Finding the Fourth Proportional to 7,854.45, 11,781.82 and 6,287.18

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Solution

The fourth proportional to 7,854.45, 11,781.82 and 6,287.18 is: 9,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.45 : 11,781.82 = 6,287.18 : x
  2. Step 2: Convert to fraction form
    7,854.45/11,781.82 = 6,287.18/x
  3. Step 3: Cross multiply
    7,854.45x = 11,781.82 × 6,287.18
  4. Step 4: Simplify right side
    7,854.45x = 74,074,372.02
  5. Step 5: Solve for x
    x = 74,074,372.02/7,854.45
  6. Step 6: Final answer
    x = 9,430.88

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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.