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Finding the Fourth Proportional to 10,956.74, 16,434.96 and 7,438.04

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Solution

The fourth proportional to 10,956.74, 16,434.96 and 7,438.04 is: 11,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.74 : 16,434.96 = 7,438.04 : x
  2. Step 2: Convert to fraction form
    10,956.74/16,434.96 = 7,438.04/x
  3. Step 3: Cross multiply
    10,956.74x = 16,434.96 × 7,438.04
  4. Step 4: Simplify right side
    10,956.74x = 122,243,889.88
  5. Step 5: Solve for x
    x = 122,243,889.88/10,956.74
  6. Step 6: Final answer
    x = 11,156.96

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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.