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Finding the Fourth Proportional to 6,706.17, 10,062.42 and 3,421.62

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Solution

The fourth proportional to 6,706.17, 10,062.42 and 3,421.62 is: 5,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.17 : 10,062.42 = 3,421.62 : x
  2. Step 2: Convert to fraction form
    6,706.17/10,062.42 = 3,421.62/x
  3. Step 3: Cross multiply
    6,706.17x = 10,062.42 × 3,421.62
  4. Step 4: Simplify right side
    6,706.17x = 34,429,777.52
  5. Step 5: Solve for x
    x = 34,429,777.52/6,706.17
  6. Step 6: Final answer
    x = 5,134.04

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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.