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Finding the Fourth Proportional to 6,737.06, 10,106.14 and 2,354.42

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Solution

The fourth proportional to 6,737.06, 10,106.14 and 2,354.42 is: 3,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.06 : 10,106.14 = 2,354.42 : x
  2. Step 2: Convert to fraction form
    6,737.06/10,106.14 = 2,354.42/x
  3. Step 3: Cross multiply
    6,737.06x = 10,106.14 × 2,354.42
  4. Step 4: Simplify right side
    6,737.06x = 23,794,098.14
  5. Step 5: Solve for x
    x = 23,794,098.14/6,737.06
  6. Step 6: Final answer
    x = 3,531.82

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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.