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Finding the Fourth Proportional to 8,815.71, 12,166.87 and 5,414.74

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Solution

The fourth proportional to 8,815.71, 12,166.87 and 5,414.74 is: 7,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.71 : 12,166.87 = 5,414.74 : x
  2. Step 2: Convert to fraction form
    8,815.71/12,166.87 = 5,414.74/x
  3. Step 3: Cross multiply
    8,815.71x = 12,166.87 × 5,414.74
  4. Step 4: Simplify right side
    8,815.71x = 65,880,437.66
  5. Step 5: Solve for x
    x = 65,880,437.66/8,815.71
  6. Step 6: Final answer
    x = 7,473.07

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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.