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Finding the Fourth Proportional to 10,098.63, 13,937.18 and 5,910.39

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Solution

The fourth proportional to 10,098.63, 13,937.18 and 5,910.39 is: 8,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.63 : 13,937.18 = 5,910.39 : x
  2. Step 2: Convert to fraction form
    10,098.63/13,937.18 = 5,910.39/x
  3. Step 3: Cross multiply
    10,098.63x = 13,937.18 × 5,910.39
  4. Step 4: Simplify right side
    10,098.63x = 82,374,114.39
  5. Step 5: Solve for x
    x = 82,374,114.39/10,098.63
  6. Step 6: Final answer
    x = 8,156.96

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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.