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Finding the Fourth Proportional to 8,002.74, 12,004.14 and 2,456.08

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Solution

The fourth proportional to 8,002.74, 12,004.14 and 2,456.08 is: 3,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.74 : 12,004.14 = 2,456.08 : x
  2. Step 2: Convert to fraction form
    8,002.74/12,004.14 = 2,456.08/x
  3. Step 3: Cross multiply
    8,002.74x = 12,004.14 × 2,456.08
  4. Step 4: Simplify right side
    8,002.74x = 29,483,128.17
  5. Step 5: Solve for x
    x = 29,483,128.17/8,002.74
  6. Step 6: Final answer
    x = 3,684.13

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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.