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Finding the Fourth Proportional to 6,707.29, 10,061.14 and 3,197.68

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Solution

The fourth proportional to 6,707.29, 10,061.14 and 3,197.68 is: 4,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.29 : 10,061.14 = 3,197.68 : x
  2. Step 2: Convert to fraction form
    6,707.29/10,061.14 = 3,197.68/x
  3. Step 3: Cross multiply
    6,707.29x = 10,061.14 × 3,197.68
  4. Step 4: Simplify right side
    6,707.29x = 32,172,306.16
  5. Step 5: Solve for x
    x = 32,172,306.16/6,707.29
  6. Step 6: Final answer
    x = 4,796.62

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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.