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Finding the Fourth Proportional to 7,854.98, 11,781.65 and 3,177.43

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Solution

The fourth proportional to 7,854.98, 11,781.65 and 3,177.43 is: 4,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.98 : 11,781.65 = 3,177.43 : x
  2. Step 2: Convert to fraction form
    7,854.98/11,781.65 = 3,177.43/x
  3. Step 3: Cross multiply
    7,854.98x = 11,781.65 × 3,177.43
  4. Step 4: Simplify right side
    7,854.98x = 37,435,346.65
  5. Step 5: Solve for x
    x = 37,435,346.65/7,854.98
  6. Step 6: Final answer
    x = 4,765.81

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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.