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Finding the Fourth Proportional to 7,743.92, 10,689.74 and 4,948.88

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Solution

The fourth proportional to 7,743.92, 10,689.74 and 4,948.88 is: 6,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.92 : 10,689.74 = 4,948.88 : x
  2. Step 2: Convert to fraction form
    7,743.92/10,689.74 = 4,948.88/x
  3. Step 3: Cross multiply
    7,743.92x = 10,689.74 × 4,948.88
  4. Step 4: Simplify right side
    7,743.92x = 52,902,240.49
  5. Step 5: Solve for x
    x = 52,902,240.49/7,743.92
  6. Step 6: Final answer
    x = 6,831.45

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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.