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Finding the Fourth Proportional to 10,640.04, 15,963.71 and 8,299.95

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Solution

The fourth proportional to 10,640.04, 15,963.71 and 8,299.95 is: 12,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.04 : 15,963.71 = 8,299.95 : x
  2. Step 2: Convert to fraction form
    10,640.04/15,963.71 = 8,299.95/x
  3. Step 3: Cross multiply
    10,640.04x = 15,963.71 × 8,299.95
  4. Step 4: Simplify right side
    10,640.04x = 132,497,953.31
  5. Step 5: Solve for x
    x = 132,497,953.31/10,640.04
  6. Step 6: Final answer
    x = 12,452.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.