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Finding the Fourth Proportional to 7,640.39, 10,543.55 and 4,237.38

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Solution

The fourth proportional to 7,640.39, 10,543.55 and 4,237.38 is: 5,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.39 : 10,543.55 = 4,237.38 : x
  2. Step 2: Convert to fraction form
    7,640.39/10,543.55 = 4,237.38/x
  3. Step 3: Cross multiply
    7,640.39x = 10,543.55 × 4,237.38
  4. Step 4: Simplify right side
    7,640.39x = 44,677,006.71
  5. Step 5: Solve for x
    x = 44,677,006.71/7,640.39
  6. Step 6: Final answer
    x = 5,847.48

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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.