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Finding the Fourth Proportional to 8,292.96, 12,433.17 and 5,005.26

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Solution

The fourth proportional to 8,292.96, 12,433.17 and 5,005.26 is: 7,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.96 : 12,433.17 = 5,005.26 : x
  2. Step 2: Convert to fraction form
    8,292.96/12,433.17 = 5,005.26/x
  3. Step 3: Cross multiply
    8,292.96x = 12,433.17 × 5,005.26
  4. Step 4: Simplify right side
    8,292.96x = 62,231,248.47
  5. Step 5: Solve for x
    x = 62,231,248.47/8,292.96
  6. Step 6: Final answer
    x = 7,504.11

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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.