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Finding the Fourth Proportional to 10,777.32, 16,165.80 and 5,229.72

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Solution

The fourth proportional to 10,777.32, 16,165.80 and 5,229.72 is: 7,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.32 : 16,165.80 = 5,229.72 : x
  2. Step 2: Convert to fraction form
    10,777.32/16,165.80 = 5,229.72/x
  3. Step 3: Cross multiply
    10,777.32x = 16,165.80 × 5,229.72
  4. Step 4: Simplify right side
    10,777.32x = 84,542,607.58
  5. Step 5: Solve for x
    x = 84,542,607.58/10,777.32
  6. Step 6: Final answer
    x = 7,844.49

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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.