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Finding the Fourth Proportional to 10,761.88, 14,851.28 and 6,286.30

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Solution

The fourth proportional to 10,761.88, 14,851.28 and 6,286.30 is: 8,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.88 : 14,851.28 = 6,286.30 : x
  2. Step 2: Convert to fraction form
    10,761.88/14,851.28 = 6,286.30/x
  3. Step 3: Cross multiply
    10,761.88x = 14,851.28 × 6,286.30
  4. Step 4: Simplify right side
    10,761.88x = 93,359,601.46
  5. Step 5: Solve for x
    x = 93,359,601.46/10,761.88
  6. Step 6: Final answer
    x = 8,675.03

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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.