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Finding the Fourth Proportional to 7,400.60, 10,212.82 and 4,256.78

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Solution

The fourth proportional to 7,400.60, 10,212.82 and 4,256.78 is: 5,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.60 : 10,212.82 = 4,256.78 : x
  2. Step 2: Convert to fraction form
    7,400.60/10,212.82 = 4,256.78/x
  3. Step 3: Cross multiply
    7,400.60x = 10,212.82 × 4,256.78
  4. Step 4: Simplify right side
    7,400.60x = 43,473,727.92
  5. Step 5: Solve for x
    x = 43,473,727.92/7,400.60
  6. Step 6: Final answer
    x = 5,874.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.