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Finding the Fourth Proportional to 8,956.38, 12,358.42 and 5,178.81

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Solution

The fourth proportional to 8,956.38, 12,358.42 and 5,178.81 is: 7,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.38 : 12,358.42 = 5,178.81 : x
  2. Step 2: Convert to fraction form
    8,956.38/12,358.42 = 5,178.81/x
  3. Step 3: Cross multiply
    8,956.38x = 12,358.42 × 5,178.81
  4. Step 4: Simplify right side
    8,956.38x = 64,001,896.13
  5. Step 5: Solve for x
    x = 64,001,896.13/8,956.38
  6. Step 6: Final answer
    x = 7,145.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.