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Finding the Fourth Proportional to 10,641.72, 15,956.82 and 3,711

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Solution

The fourth proportional to 10,641.72, 15,956.82 and 3,711 is: 5,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.72 : 15,956.82 = 3,711 : x
  2. Step 2: Convert to fraction form
    10,641.72/15,956.82 = 3,711/x
  3. Step 3: Cross multiply
    10,641.72x = 15,956.82 × 3,711
  4. Step 4: Simplify right side
    10,641.72x = 59,215,759.02
  5. Step 5: Solve for x
    x = 59,215,759.02/10,641.72
  6. Step 6: Final answer
    x = 5,564.49

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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.