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Finding the Fourth Proportional to 7,693.74, 11,542.41 and 2,499.62

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Solution

The fourth proportional to 7,693.74, 11,542.41 and 2,499.62 is: 3,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.74 : 11,542.41 = 2,499.62 : x
  2. Step 2: Convert to fraction form
    7,693.74/11,542.41 = 2,499.62/x
  3. Step 3: Cross multiply
    7,693.74x = 11,542.41 × 2,499.62
  4. Step 4: Simplify right side
    7,693.74x = 28,851,581.17
  5. Step 5: Solve for x
    x = 28,851,581.17/7,693.74
  6. Step 6: Final answer
    x = 3,750.01

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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.