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Finding the Fourth Proportional to 7,540.86, 11,297.91 and 3,148.65

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Solution

The fourth proportional to 7,540.86, 11,297.91 and 3,148.65 is: 4,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.86 : 11,297.91 = 3,148.65 : x
  2. Step 2: Convert to fraction form
    7,540.86/11,297.91 = 3,148.65/x
  3. Step 3: Cross multiply
    7,540.86x = 11,297.91 × 3,148.65
  4. Step 4: Simplify right side
    7,540.86x = 35,573,164.32
  5. Step 5: Solve for x
    x = 35,573,164.32/7,540.86
  6. Step 6: Final answer
    x = 4,717.39

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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.