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Finding the Fourth Proportional to 8,402.32, 12,618.06 and 5,291.92

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Solution

The fourth proportional to 8,402.32, 12,618.06 and 5,291.92 is: 7,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.32 : 12,618.06 = 5,291.92 : x
  2. Step 2: Convert to fraction form
    8,402.32/12,618.06 = 5,291.92/x
  3. Step 3: Cross multiply
    8,402.32x = 12,618.06 × 5,291.92
  4. Step 4: Simplify right side
    8,402.32x = 66,773,764.08
  5. Step 5: Solve for x
    x = 66,773,764.08/8,402.32
  6. Step 6: Final answer
    x = 7,947.06

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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.