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Finding the Fourth Proportional to 7,237.10, 10,854 and 3,486.97

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Solution

The fourth proportional to 7,237.10, 10,854 and 3,486.97 is: 5,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.10 : 10,854 = 3,486.97 : x
  2. Step 2: Convert to fraction form
    7,237.10/10,854 = 3,486.97/x
  3. Step 3: Cross multiply
    7,237.10x = 10,854 × 3,486.97
  4. Step 4: Simplify right side
    7,237.10x = 37,847,572.38
  5. Step 5: Solve for x
    x = 37,847,572.38/7,237.10
  6. Step 6: Final answer
    x = 5,229.66

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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.