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Finding the Fourth Proportional to 8,385.50, 12,580.52 and 2,838.85

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Solution

The fourth proportional to 8,385.50, 12,580.52 and 2,838.85 is: 4,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.50 : 12,580.52 = 2,838.85 : x
  2. Step 2: Convert to fraction form
    8,385.50/12,580.52 = 2,838.85/x
  3. Step 3: Cross multiply
    8,385.50x = 12,580.52 × 2,838.85
  4. Step 4: Simplify right side
    8,385.50x = 35,714,175.21
  5. Step 5: Solve for x
    x = 35,714,175.21/8,385.50
  6. Step 6: Final answer
    x = 4,259.04

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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.