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Finding the Fourth Proportional to 10,956.70, 16,443.15 and 7,257.70

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Solution

The fourth proportional to 10,956.70, 16,443.15 and 7,257.70 is: 10,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.70 : 16,443.15 = 7,257.70 : x
  2. Step 2: Convert to fraction form
    10,956.70/16,443.15 = 7,257.70/x
  3. Step 3: Cross multiply
    10,956.70x = 16,443.15 × 7,257.70
  4. Step 4: Simplify right side
    10,956.70x = 119,339,449.76
  5. Step 5: Solve for x
    x = 119,339,449.76/10,956.70
  6. Step 6: Final answer
    x = 10,891.92

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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.