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Finding the Fourth Proportional to 7,636.38, 10,543.33 and 4,769.48

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Solution

The fourth proportional to 7,636.38, 10,543.33 and 4,769.48 is: 6,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.38 : 10,543.33 = 4,769.48 : x
  2. Step 2: Convert to fraction form
    7,636.38/10,543.33 = 4,769.48/x
  3. Step 3: Cross multiply
    7,636.38x = 10,543.33 × 4,769.48
  4. Step 4: Simplify right side
    7,636.38x = 50,286,233.89
  5. Step 5: Solve for x
    x = 50,286,233.89/7,636.38
  6. Step 6: Final answer
    x = 6,585.09

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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.