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Finding the Fourth Proportional to 7,540.59, 11,311.50 and 2,346.47

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Solution

The fourth proportional to 7,540.59, 11,311.50 and 2,346.47 is: 3,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.59 : 11,311.50 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    7,540.59/11,311.50 = 2,346.47/x
  3. Step 3: Cross multiply
    7,540.59x = 11,311.50 × 2,346.47
  4. Step 4: Simplify right side
    7,540.59x = 26,542,076.87
  5. Step 5: Solve for x
    x = 26,542,076.87/7,540.59
  6. Step 6: Final answer
    x = 3,519.89

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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.