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Finding the Fourth Proportional to 8,680.68, 13,027.40 and 6,464.52

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Solution

The fourth proportional to 8,680.68, 13,027.40 and 6,464.52 is: 9,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.68 : 13,027.40 = 6,464.52 : x
  2. Step 2: Convert to fraction form
    8,680.68/13,027.40 = 6,464.52/x
  3. Step 3: Cross multiply
    8,680.68x = 13,027.40 × 6,464.52
  4. Step 4: Simplify right side
    8,680.68x = 84,215,887.85
  5. Step 5: Solve for x
    x = 84,215,887.85/8,680.68
  6. Step 6: Final answer
    x = 9,701.53

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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.