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Finding the Fourth Proportional to 8,167.20, 12,276.90 and 7,589.40

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Solution

The fourth proportional to 8,167.20, 12,276.90 and 7,589.40 is: 11,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.20 : 12,276.90 = 7,589.40 : x
  2. Step 2: Convert to fraction form
    8,167.20/12,276.90 = 7,589.40/x
  3. Step 3: Cross multiply
    8,167.20x = 12,276.90 × 7,589.40
  4. Step 4: Simplify right side
    8,167.20x = 93,174,304.86
  5. Step 5: Solve for x
    x = 93,174,304.86/8,167.20
  6. Step 6: Final answer
    x = 11,408.35

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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.