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Finding the Fourth Proportional to 10,966.47, 16,449.72 and 3,175.29

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Solution

The fourth proportional to 10,966.47, 16,449.72 and 3,175.29 is: 4,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.47 : 16,449.72 = 3,175.29 : x
  2. Step 2: Convert to fraction form
    10,966.47/16,449.72 = 3,175.29/x
  3. Step 3: Cross multiply
    10,966.47x = 16,449.72 × 3,175.29
  4. Step 4: Simplify right side
    10,966.47x = 52,232,631.42
  5. Step 5: Solve for x
    x = 52,232,631.42/10,966.47
  6. Step 6: Final answer
    x = 4,762.94

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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.