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Finding the Fourth Proportional to 7,104.75, 10,657.17 and 2,487.75

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Solution

The fourth proportional to 7,104.75, 10,657.17 and 2,487.75 is: 3,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.75 : 10,657.17 = 2,487.75 : x
  2. Step 2: Convert to fraction form
    7,104.75/10,657.17 = 2,487.75/x
  3. Step 3: Cross multiply
    7,104.75x = 10,657.17 × 2,487.75
  4. Step 4: Simplify right side
    7,104.75x = 26,512,374.67
  5. Step 5: Solve for x
    x = 26,512,374.67/7,104.75
  6. Step 6: Final answer
    x = 3,731.64

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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.