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Finding the Fourth Proportional to 8,038.62, 12,055.14 and 2,414.64

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Solution

The fourth proportional to 8,038.62, 12,055.14 and 2,414.64 is: 3,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.62 : 12,055.14 = 2,414.64 : x
  2. Step 2: Convert to fraction form
    8,038.62/12,055.14 = 2,414.64/x
  3. Step 3: Cross multiply
    8,038.62x = 12,055.14 × 2,414.64
  4. Step 4: Simplify right side
    8,038.62x = 29,108,823.25
  5. Step 5: Solve for x
    x = 29,108,823.25/8,038.62
  6. Step 6: Final answer
    x = 3,621.12

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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.