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Finding the Fourth Proportional to 10,897.14, 15,046.50 and 8,375.22

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Solution

The fourth proportional to 10,897.14, 15,046.50 and 8,375.22 is: 11,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.14 : 15,046.50 = 8,375.22 : x
  2. Step 2: Convert to fraction form
    10,897.14/15,046.50 = 8,375.22/x
  3. Step 3: Cross multiply
    10,897.14x = 15,046.50 × 8,375.22
  4. Step 4: Simplify right side
    10,897.14x = 126,017,747.73
  5. Step 5: Solve for x
    x = 126,017,747.73/10,897.14
  6. Step 6: Final answer
    x = 11,564.30

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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.