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Finding the Fourth Proportional to 7,639.68, 10,543.38 and 4,282.44

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Solution

The fourth proportional to 7,639.68, 10,543.38 and 4,282.44 is: 5,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.68 : 10,543.38 = 4,282.44 : x
  2. Step 2: Convert to fraction form
    7,639.68/10,543.38 = 4,282.44/x
  3. Step 3: Cross multiply
    7,639.68x = 10,543.38 × 4,282.44
  4. Step 4: Simplify right side
    7,639.68x = 45,151,392.25
  5. Step 5: Solve for x
    x = 45,151,392.25/7,639.68
  6. Step 6: Final answer
    x = 5,910.12

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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.