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Finding the Fourth Proportional to 8,463.60, 12,675.84 and 8,061.84

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Solution

The fourth proportional to 8,463.60, 12,675.84 and 8,061.84 is: 12,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.60 : 12,675.84 = 8,061.84 : x
  2. Step 2: Convert to fraction form
    8,463.60/12,675.84 = 8,061.84/x
  3. Step 3: Cross multiply
    8,463.60x = 12,675.84 × 8,061.84
  4. Step 4: Simplify right side
    8,463.60x = 102,190,593.95
  5. Step 5: Solve for x
    x = 102,190,593.95/8,463.60
  6. Step 6: Final answer
    x = 12,074.13

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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.