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Finding the Fourth Proportional to 10,063.20, 13,878.18 and 6,875.04

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Solution

The fourth proportional to 10,063.20, 13,878.18 and 6,875.04 is: 9,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.20 : 13,878.18 = 6,875.04 : x
  2. Step 2: Convert to fraction form
    10,063.20/13,878.18 = 6,875.04/x
  3. Step 3: Cross multiply
    10,063.20x = 13,878.18 × 6,875.04
  4. Step 4: Simplify right side
    10,063.20x = 95,413,042.63
  5. Step 5: Solve for x
    x = 95,413,042.63/10,063.20
  6. Step 6: Final answer
    x = 9,481.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.