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Finding the Fourth Proportional to 10,891.32, 16,337.09 and 3,871.46

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Solution

The fourth proportional to 10,891.32, 16,337.09 and 3,871.46 is: 5,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.32 : 16,337.09 = 3,871.46 : x
  2. Step 2: Convert to fraction form
    10,891.32/16,337.09 = 3,871.46/x
  3. Step 3: Cross multiply
    10,891.32x = 16,337.09 × 3,871.46
  4. Step 4: Simplify right side
    10,891.32x = 63,248,390.45
  5. Step 5: Solve for x
    x = 63,248,390.45/10,891.32
  6. Step 6: Final answer
    x = 5,807.23

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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.