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Finding the Fourth Proportional to 7,540.92, 11,313.80 and 3,384.52

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Solution

The fourth proportional to 7,540.92, 11,313.80 and 3,384.52 is: 5,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.92 : 11,313.80 = 3,384.52 : x
  2. Step 2: Convert to fraction form
    7,540.92/11,313.80 = 3,384.52/x
  3. Step 3: Cross multiply
    7,540.92x = 11,313.80 × 3,384.52
  4. Step 4: Simplify right side
    7,540.92x = 38,291,782.38
  5. Step 5: Solve for x
    x = 38,291,782.38/7,540.92
  6. Step 6: Final answer
    x = 5,077.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.