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Finding the Fourth Proportional to 7,844.80, 10,831.17 and 5,487.70

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Solution

The fourth proportional to 7,844.80, 10,831.17 and 5,487.70 is: 7,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.80 : 10,831.17 = 5,487.70 : x
  2. Step 2: Convert to fraction form
    7,844.80/10,831.17 = 5,487.70/x
  3. Step 3: Cross multiply
    7,844.80x = 10,831.17 × 5,487.70
  4. Step 4: Simplify right side
    7,844.80x = 59,438,211.61
  5. Step 5: Solve for x
    x = 59,438,211.61/7,844.80
  6. Step 6: Final answer
    x = 7,576.77

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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.