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Finding the Fourth Proportional to 8,664.54, 12,989 and 3,116.58

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Solution

The fourth proportional to 8,664.54, 12,989 and 3,116.58 is: 4,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.54 : 12,989 = 3,116.58 : x
  2. Step 2: Convert to fraction form
    8,664.54/12,989 = 3,116.58/x
  3. Step 3: Cross multiply
    8,664.54x = 12,989 × 3,116.58
  4. Step 4: Simplify right side
    8,664.54x = 40,481,257.62
  5. Step 5: Solve for x
    x = 40,481,257.62/8,664.54
  6. Step 6: Final answer
    x = 4,672.06

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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.