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Finding the Fourth Proportional to 8,777.60, 13,161.28 and 2,932.48

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Solution

The fourth proportional to 8,777.60, 13,161.28 and 2,932.48 is: 4,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.60 : 13,161.28 = 2,932.48 : x
  2. Step 2: Convert to fraction form
    8,777.60/13,161.28 = 2,932.48/x
  3. Step 3: Cross multiply
    8,777.60x = 13,161.28 × 2,932.48
  4. Step 4: Simplify right side
    8,777.60x = 38,595,190.37
  5. Step 5: Solve for x
    x = 38,595,190.37/8,777.60
  6. Step 6: Final answer
    x = 4,397.01

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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.