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Finding the Fourth Proportional to 8,642, 12,965.32 and 3,451.52

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Solution

The fourth proportional to 8,642, 12,965.32 and 3,451.52 is: 5,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 12,965.32 = 3,451.52 : x
  2. Step 2: Convert to fraction form
    8,642/12,965.32 = 3,451.52/x
  3. Step 3: Cross multiply
    8,642x = 12,965.32 × 3,451.52
  4. Step 4: Simplify right side
    8,642x = 44,750,061.29
  5. Step 5: Solve for x
    x = 44,750,061.29/8,642
  6. Step 6: Final answer
    x = 5,178.21

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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.