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Finding the Fourth Proportional to 8,191.68, 12,304.80 and 6,118.08

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Solution

The fourth proportional to 8,191.68, 12,304.80 and 6,118.08 is: 9,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.68 : 12,304.80 = 6,118.08 : x
  2. Step 2: Convert to fraction form
    8,191.68/12,304.80 = 6,118.08/x
  3. Step 3: Cross multiply
    8,191.68x = 12,304.80 × 6,118.08
  4. Step 4: Simplify right side
    8,191.68x = 75,281,750.78
  5. Step 5: Solve for x
    x = 75,281,750.78/8,191.68
  6. Step 6: Final answer
    x = 9,190.03

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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.