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Finding the Fourth Proportional to 8,024.92, 12,038.88 and 3,642.68

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Solution

The fourth proportional to 8,024.92, 12,038.88 and 3,642.68 is: 5,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.92 : 12,038.88 = 3,642.68 : x
  2. Step 2: Convert to fraction form
    8,024.92/12,038.88 = 3,642.68/x
  3. Step 3: Cross multiply
    8,024.92x = 12,038.88 × 3,642.68
  4. Step 4: Simplify right side
    8,024.92x = 43,853,787.40
  5. Step 5: Solve for x
    x = 43,853,787.40/8,024.92
  6. Step 6: Final answer
    x = 5,464.70

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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.