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Finding the Fourth Proportional to 11,414.37, 17,127.23 and 7,708.47

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Solution

The fourth proportional to 11,414.37, 17,127.23 and 7,708.47 is: 11,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.37 : 17,127.23 = 7,708.47 : x
  2. Step 2: Convert to fraction form
    11,414.37/17,127.23 = 7,708.47/x
  3. Step 3: Cross multiply
    11,414.37x = 17,127.23 × 7,708.47
  4. Step 4: Simplify right side
    11,414.37x = 132,024,700.10
  5. Step 5: Solve for x
    x = 132,024,700.10/11,414.37
  6. Step 6: Final answer
    x = 11,566.53

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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.