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Finding the Fourth Proportional to 7,963.52, 10,966.02 and 5,721.44

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Solution

The fourth proportional to 7,963.52, 10,966.02 and 5,721.44 is: 7,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.52 : 10,966.02 = 5,721.44 : x
  2. Step 2: Convert to fraction form
    7,963.52/10,966.02 = 5,721.44/x
  3. Step 3: Cross multiply
    7,963.52x = 10,966.02 × 5,721.44
  4. Step 4: Simplify right side
    7,963.52x = 62,741,425.47
  5. Step 5: Solve for x
    x = 62,741,425.47/7,963.52
  6. Step 6: Final answer
    x = 7,878.60

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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.