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Finding the Fourth Proportional to 10,442.74, 14,407.78 and 5,966.23

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Solution

The fourth proportional to 10,442.74, 14,407.78 and 5,966.23 is: 8,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.74 : 14,407.78 = 5,966.23 : x
  2. Step 2: Convert to fraction form
    10,442.74/14,407.78 = 5,966.23/x
  3. Step 3: Cross multiply
    10,442.74x = 14,407.78 × 5,966.23
  4. Step 4: Simplify right side
    10,442.74x = 85,960,057.23
  5. Step 5: Solve for x
    x = 85,960,057.23/10,442.74
  6. Step 6: Final answer
    x = 8,231.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.