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Finding the Fourth Proportional to 8,124.57, 12,194.89 and 5,787.18

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Solution

The fourth proportional to 8,124.57, 12,194.89 and 5,787.18 is: 8,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.57 : 12,194.89 = 5,787.18 : x
  2. Step 2: Convert to fraction form
    8,124.57/12,194.89 = 5,787.18/x
  3. Step 3: Cross multiply
    8,124.57x = 12,194.89 × 5,787.18
  4. Step 4: Simplify right side
    8,124.57x = 70,574,009.04
  5. Step 5: Solve for x
    x = 70,574,009.04/8,124.57
  6. Step 6: Final answer
    x = 8,686.49

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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.