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Finding the Fourth Proportional to 10,713.24, 16,040.52 and 7,754.40

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Solution

The fourth proportional to 10,713.24, 16,040.52 and 7,754.40 is: 11,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.24 : 16,040.52 = 7,754.40 : x
  2. Step 2: Convert to fraction form
    10,713.24/16,040.52 = 7,754.40/x
  3. Step 3: Cross multiply
    10,713.24x = 16,040.52 × 7,754.40
  4. Step 4: Simplify right side
    10,713.24x = 124,384,608.29
  5. Step 5: Solve for x
    x = 124,384,608.29/10,713.24
  6. Step 6: Final answer
    x = 11,610.36

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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.