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Finding the Fourth Proportional to 7,843.28, 10,823.76 and 4,306.88

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Solution

The fourth proportional to 7,843.28, 10,823.76 and 4,306.88 is: 5,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.28 : 10,823.76 = 4,306.88 : x
  2. Step 2: Convert to fraction form
    7,843.28/10,823.76 = 4,306.88/x
  3. Step 3: Cross multiply
    7,843.28x = 10,823.76 × 4,306.88
  4. Step 4: Simplify right side
    7,843.28x = 46,616,635.47
  5. Step 5: Solve for x
    x = 46,616,635.47/7,843.28
  6. Step 6: Final answer
    x = 5,943.51

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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.