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Finding the Fourth Proportional to 10,647.25, 15,971.13 and 3,251.77

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Solution

The fourth proportional to 10,647.25, 15,971.13 and 3,251.77 is: 4,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.25 : 15,971.13 = 3,251.77 : x
  2. Step 2: Convert to fraction form
    10,647.25/15,971.13 = 3,251.77/x
  3. Step 3: Cross multiply
    10,647.25x = 15,971.13 × 3,251.77
  4. Step 4: Simplify right side
    10,647.25x = 51,934,401.47
  5. Step 5: Solve for x
    x = 51,934,401.47/10,647.25
  6. Step 6: Final answer
    x = 4,877.73

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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.