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Finding the Fourth Proportional to 7,644.81, 10,535.55 and 5,963.55

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Solution

The fourth proportional to 7,644.81, 10,535.55 and 5,963.55 is: 8,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.81 : 10,535.55 = 5,963.55 : x
  2. Step 2: Convert to fraction form
    7,644.81/10,535.55 = 5,963.55/x
  3. Step 3: Cross multiply
    7,644.81x = 10,535.55 × 5,963.55
  4. Step 4: Simplify right side
    7,644.81x = 62,829,279.20
  5. Step 5: Solve for x
    x = 62,829,279.20/7,644.81
  6. Step 6: Final answer
    x = 8,218.55

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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.