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Finding the Fourth Proportional to 8,072.46, 12,106.80 and 3,691.17

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Solution

The fourth proportional to 8,072.46, 12,106.80 and 3,691.17 is: 5,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.46 : 12,106.80 = 3,691.17 : x
  2. Step 2: Convert to fraction form
    8,072.46/12,106.80 = 3,691.17/x
  3. Step 3: Cross multiply
    8,072.46x = 12,106.80 × 3,691.17
  4. Step 4: Simplify right side
    8,072.46x = 44,688,256.96
  5. Step 5: Solve for x
    x = 44,688,256.96/8,072.46
  6. Step 6: Final answer
    x = 5,535.89

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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.