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Finding the Fourth Proportional to 7,956.64, 11,934.02 and 2,113.70

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Solution

The fourth proportional to 7,956.64, 11,934.02 and 2,113.70 is: 3,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.64 : 11,934.02 = 2,113.70 : x
  2. Step 2: Convert to fraction form
    7,956.64/11,934.02 = 2,113.70/x
  3. Step 3: Cross multiply
    7,956.64x = 11,934.02 × 2,113.70
  4. Step 4: Simplify right side
    7,956.64x = 25,224,938.07
  5. Step 5: Solve for x
    x = 25,224,938.07/7,956.64
  6. Step 6: Final answer
    x = 3,170.30

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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.