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Finding the Fourth Proportional to 10,965.48, 15,132.74 and 5,997.48

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Solution

The fourth proportional to 10,965.48, 15,132.74 and 5,997.48 is: 8,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.48 : 15,132.74 = 5,997.48 : x
  2. Step 2: Convert to fraction form
    10,965.48/15,132.74 = 5,997.48/x
  3. Step 3: Cross multiply
    10,965.48x = 15,132.74 × 5,997.48
  4. Step 4: Simplify right side
    10,965.48x = 90,758,305.50
  5. Step 5: Solve for x
    x = 90,758,305.50/10,965.48
  6. Step 6: Final answer
    x = 8,276.73

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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.