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Finding the Fourth Proportional to 7,494.89, 11,238.74 and 3,542.86

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Solution

The fourth proportional to 7,494.89, 11,238.74 and 3,542.86 is: 5,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.89 : 11,238.74 = 3,542.86 : x
  2. Step 2: Convert to fraction form
    7,494.89/11,238.74 = 3,542.86/x
  3. Step 3: Cross multiply
    7,494.89x = 11,238.74 × 3,542.86
  4. Step 4: Simplify right side
    7,494.89x = 39,817,282.40
  5. Step 5: Solve for x
    x = 39,817,282.40/7,494.89
  6. Step 6: Final answer
    x = 5,312.59

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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.