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Finding the Fourth Proportional to 8,358.25, 12,535.78 and 4,197.14

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Solution

The fourth proportional to 8,358.25, 12,535.78 and 4,197.14 is: 6,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.25 : 12,535.78 = 4,197.14 : x
  2. Step 2: Convert to fraction form
    8,358.25/12,535.78 = 4,197.14/x
  3. Step 3: Cross multiply
    8,358.25x = 12,535.78 × 4,197.14
  4. Step 4: Simplify right side
    8,358.25x = 52,614,360.99
  5. Step 5: Solve for x
    x = 52,614,360.99/8,358.25
  6. Step 6: Final answer
    x = 6,294.90

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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.