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Finding the Fourth Proportional to 11,154.32, 16,731 and 2,834.68

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Solution

The fourth proportional to 11,154.32, 16,731 and 2,834.68 is: 4,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.32 : 16,731 = 2,834.68 : x
  2. Step 2: Convert to fraction form
    11,154.32/16,731 = 2,834.68/x
  3. Step 3: Cross multiply
    11,154.32x = 16,731 × 2,834.68
  4. Step 4: Simplify right side
    11,154.32x = 47,427,031.08
  5. Step 5: Solve for x
    x = 47,427,031.08/11,154.32
  6. Step 6: Final answer
    x = 4,251.90

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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.