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Finding the Fourth Proportional to 7,726.38, 10,662.38 and 4,189.59

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Solution

The fourth proportional to 7,726.38, 10,662.38 and 4,189.59 is: 5,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.38 : 10,662.38 = 4,189.59 : x
  2. Step 2: Convert to fraction form
    7,726.38/10,662.38 = 4,189.59/x
  3. Step 3: Cross multiply
    7,726.38x = 10,662.38 × 4,189.59
  4. Step 4: Simplify right side
    7,726.38x = 44,671,000.62
  5. Step 5: Solve for x
    x = 44,671,000.62/7,726.38
  6. Step 6: Final answer
    x = 5,781.62

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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.