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Finding the Fourth Proportional to 7,575.50, 11,348.40 and 3,866.78

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Solution

The fourth proportional to 7,575.50, 11,348.40 and 3,866.78 is: 5,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.50 : 11,348.40 = 3,866.78 : x
  2. Step 2: Convert to fraction form
    7,575.50/11,348.40 = 3,866.78/x
  3. Step 3: Cross multiply
    7,575.50x = 11,348.40 × 3,866.78
  4. Step 4: Simplify right side
    7,575.50x = 43,881,766.15
  5. Step 5: Solve for x
    x = 43,881,766.15/7,575.50
  6. Step 6: Final answer
    x = 5,792.59

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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.