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Finding the Fourth Proportional to 7,969.61, 11,956.26 and 2,704.34

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Solution

The fourth proportional to 7,969.61, 11,956.26 and 2,704.34 is: 4,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.61 : 11,956.26 = 2,704.34 : x
  2. Step 2: Convert to fraction form
    7,969.61/11,956.26 = 2,704.34/x
  3. Step 3: Cross multiply
    7,969.61x = 11,956.26 × 2,704.34
  4. Step 4: Simplify right side
    7,969.61x = 32,333,792.17
  5. Step 5: Solve for x
    x = 32,333,792.17/7,969.61
  6. Step 6: Final answer
    x = 4,057.14

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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.