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Finding the Fourth Proportional to 8,854.65, 12,218.95 and 5,077.64

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Solution

The fourth proportional to 8,854.65, 12,218.95 and 5,077.64 is: 7,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.65 : 12,218.95 = 5,077.64 : x
  2. Step 2: Convert to fraction form
    8,854.65/12,218.95 = 5,077.64/x
  3. Step 3: Cross multiply
    8,854.65x = 12,218.95 × 5,077.64
  4. Step 4: Simplify right side
    8,854.65x = 62,043,397.44
  5. Step 5: Solve for x
    x = 62,043,397.44/8,854.65
  6. Step 6: Final answer
    x = 7,006.87

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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.