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Finding the Fourth Proportional to 10,251.89, 15,347.91 and 7,796.33

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Solution

The fourth proportional to 10,251.89, 15,347.91 and 7,796.33 is: 11,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.89 : 15,347.91 = 7,796.33 : x
  2. Step 2: Convert to fraction form
    10,251.89/15,347.91 = 7,796.33/x
  3. Step 3: Cross multiply
    10,251.89x = 15,347.91 × 7,796.33
  4. Step 4: Simplify right side
    10,251.89x = 119,657,371.17
  5. Step 5: Solve for x
    x = 119,657,371.17/10,251.89
  6. Step 6: Final answer
    x = 11,671.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.