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Finding the Fourth Proportional to 8,128.95, 12,178.85 and 7,691.55

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Solution

The fourth proportional to 8,128.95, 12,178.85 and 7,691.55 is: 11,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.95 : 12,178.85 = 7,691.55 : x
  2. Step 2: Convert to fraction form
    8,128.95/12,178.85 = 7,691.55/x
  3. Step 3: Cross multiply
    8,128.95x = 12,178.85 × 7,691.55
  4. Step 4: Simplify right side
    8,128.95x = 93,674,195.26
  5. Step 5: Solve for x
    x = 93,674,195.26/8,128.95
  6. Step 6: Final answer
    x = 11,523.53

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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.