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Finding the Fourth Proportional to 10,115.22, 13,965.72 and 6,531.78

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Solution

The fourth proportional to 10,115.22, 13,965.72 and 6,531.78 is: 9,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.22 : 13,965.72 = 6,531.78 : x
  2. Step 2: Convert to fraction form
    10,115.22/13,965.72 = 6,531.78/x
  3. Step 3: Cross multiply
    10,115.22x = 13,965.72 × 6,531.78
  4. Step 4: Simplify right side
    10,115.22x = 91,221,010.58
  5. Step 5: Solve for x
    x = 91,221,010.58/10,115.22
  6. Step 6: Final answer
    x = 9,018.19

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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.