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Finding the Fourth Proportional to 8,761.58, 13,135.02 and 3,827.46

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Solution

The fourth proportional to 8,761.58, 13,135.02 and 3,827.46 is: 5,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.58 : 13,135.02 = 3,827.46 : x
  2. Step 2: Convert to fraction form
    8,761.58/13,135.02 = 3,827.46/x
  3. Step 3: Cross multiply
    8,761.58x = 13,135.02 × 3,827.46
  4. Step 4: Simplify right side
    8,761.58x = 50,273,763.65
  5. Step 5: Solve for x
    x = 50,273,763.65/8,761.58
  6. Step 6: Final answer
    x = 5,737.98

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Why These Related Problems?

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