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Finding the Fourth Proportional to 7,154.61, 9,882.85 and 5,963.50

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Solution

The fourth proportional to 7,154.61, 9,882.85 and 5,963.50 is: 8,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.61 : 9,882.85 = 5,963.50 : x
  2. Step 2: Convert to fraction form
    7,154.61/9,882.85 = 5,963.50/x
  3. Step 3: Cross multiply
    7,154.61x = 9,882.85 × 5,963.50
  4. Step 4: Simplify right side
    7,154.61x = 58,936,410.96
  5. Step 5: Solve for x
    x = 58,936,410.96/7,154.61
  6. Step 6: Final answer
    x = 8,237.55

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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.