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Finding the Fourth Proportional to 7,731.92, 10,658.76 and 5,749.04

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Solution

The fourth proportional to 7,731.92, 10,658.76 and 5,749.04 is: 7,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.92 : 10,658.76 = 5,749.04 : x
  2. Step 2: Convert to fraction form
    7,731.92/10,658.76 = 5,749.04/x
  3. Step 3: Cross multiply
    7,731.92x = 10,658.76 × 5,749.04
  4. Step 4: Simplify right side
    7,731.92x = 61,277,637.59
  5. Step 5: Solve for x
    x = 61,277,637.59/7,731.92
  6. Step 6: Final answer
    x = 7,925.28

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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.