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Finding the Fourth Proportional to 8,419.14, 12,631 and 2,575.62

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Solution

The fourth proportional to 8,419.14, 12,631 and 2,575.62 is: 3,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.14 : 12,631 = 2,575.62 : x
  2. Step 2: Convert to fraction form
    8,419.14/12,631 = 2,575.62/x
  3. Step 3: Cross multiply
    8,419.14x = 12,631 × 2,575.62
  4. Step 4: Simplify right side
    8,419.14x = 32,532,656.22
  5. Step 5: Solve for x
    x = 32,532,656.22/8,419.14
  6. Step 6: Final answer
    x = 3,864.13

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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.