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Finding the Fourth Proportional to 6,967.10, 10,452.17 and 2,966.10

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Solution

The fourth proportional to 6,967.10, 10,452.17 and 2,966.10 is: 4,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.10 : 10,452.17 = 2,966.10 : x
  2. Step 2: Convert to fraction form
    6,967.10/10,452.17 = 2,966.10/x
  3. Step 3: Cross multiply
    6,967.10x = 10,452.17 × 2,966.10
  4. Step 4: Simplify right side
    6,967.10x = 31,002,166.61
  5. Step 5: Solve for x
    x = 31,002,166.61/6,967.10
  6. Step 6: Final answer
    x = 4,449.80

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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.