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Finding the Fourth Proportional to 10,965.50, 15,132.45 and 5,997.50

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Solution

The fourth proportional to 10,965.50, 15,132.45 and 5,997.50 is: 8,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.50 : 15,132.45 = 5,997.50 : x
  2. Step 2: Convert to fraction form
    10,965.50/15,132.45 = 5,997.50/x
  3. Step 3: Cross multiply
    10,965.50x = 15,132.45 × 5,997.50
  4. Step 4: Simplify right side
    10,965.50x = 90,756,868.88
  5. Step 5: Solve for x
    x = 90,756,868.88/10,965.50
  6. Step 6: Final answer
    x = 8,276.58

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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.