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Finding the Fourth Proportional to 10,503.20, 15,754.80 and 8,832.80

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Solution

The fourth proportional to 10,503.20, 15,754.80 and 8,832.80 is: 13,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.20 : 15,754.80 = 8,832.80 : x
  2. Step 2: Convert to fraction form
    10,503.20/15,754.80 = 8,832.80/x
  3. Step 3: Cross multiply
    10,503.20x = 15,754.80 × 8,832.80
  4. Step 4: Simplify right side
    10,503.20x = 139,158,997.44
  5. Step 5: Solve for x
    x = 139,158,997.44/10,503.20
  6. Step 6: Final answer
    x = 13,249.20

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Why These Related Problems?

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