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Finding the Fourth Proportional to 8,462.76, 12,679.56 and 6,589.32

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Solution

The fourth proportional to 8,462.76, 12,679.56 and 6,589.32 is: 9,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.76 : 12,679.56 = 6,589.32 : x
  2. Step 2: Convert to fraction form
    8,462.76/12,679.56 = 6,589.32/x
  3. Step 3: Cross multiply
    8,462.76x = 12,679.56 × 6,589.32
  4. Step 4: Simplify right side
    8,462.76x = 83,549,678.30
  5. Step 5: Solve for x
    x = 83,549,678.30/8,462.76
  6. Step 6: Final answer
    x = 9,872.63

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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.