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Finding the Fourth Proportional to 8,272.62, 12,419.46 and 5,363.10

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Solution

The fourth proportional to 8,272.62, 12,419.46 and 5,363.10 is: 8,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.62 : 12,419.46 = 5,363.10 : x
  2. Step 2: Convert to fraction form
    8,272.62/12,419.46 = 5,363.10/x
  3. Step 3: Cross multiply
    8,272.62x = 12,419.46 × 5,363.10
  4. Step 4: Simplify right side
    8,272.62x = 66,606,805.93
  5. Step 5: Solve for x
    x = 66,606,805.93/8,272.62
  6. Step 6: Final answer
    x = 8,051.48

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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.