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Finding the Fourth Proportional to 10,026.48, 13,843.25 and 6,251.18

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Solution

The fourth proportional to 10,026.48, 13,843.25 and 6,251.18 is: 8,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.48 : 13,843.25 = 6,251.18 : x
  2. Step 2: Convert to fraction form
    10,026.48/13,843.25 = 6,251.18/x
  3. Step 3: Cross multiply
    10,026.48x = 13,843.25 × 6,251.18
  4. Step 4: Simplify right side
    10,026.48x = 86,536,605.67
  5. Step 5: Solve for x
    x = 86,536,605.67/10,026.48
  6. Step 6: Final answer
    x = 8,630.80

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