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Finding the Fourth Proportional to 10,772.42, 16,158.16 and 3,376.71

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Solution

The fourth proportional to 10,772.42, 16,158.16 and 3,376.71 is: 5,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.42 : 16,158.16 = 3,376.71 : x
  2. Step 2: Convert to fraction form
    10,772.42/16,158.16 = 3,376.71/x
  3. Step 3: Cross multiply
    10,772.42x = 16,158.16 × 3,376.71
  4. Step 4: Simplify right side
    10,772.42x = 54,561,420.45
  5. Step 5: Solve for x
    x = 54,561,420.45/10,772.42
  6. Step 6: Final answer
    x = 5,064.92

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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.