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Finding the Fourth Proportional to 10,092.44, 13,934.76 and 7,749.92

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Solution

The fourth proportional to 10,092.44, 13,934.76 and 7,749.92 is: 10,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.44 : 13,934.76 = 7,749.92 : x
  2. Step 2: Convert to fraction form
    10,092.44/13,934.76 = 7,749.92/x
  3. Step 3: Cross multiply
    10,092.44x = 13,934.76 × 7,749.92
  4. Step 4: Simplify right side
    10,092.44x = 107,993,275.22
  5. Step 5: Solve for x
    x = 107,993,275.22/10,092.44
  6. Step 6: Final answer
    x = 10,700.41

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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.