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Finding the Fourth Proportional to 7,353.78, 10,148.19 and 4,209.96

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Solution

The fourth proportional to 7,353.78, 10,148.19 and 4,209.96 is: 5,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.78 : 10,148.19 = 4,209.96 : x
  2. Step 2: Convert to fraction form
    7,353.78/10,148.19 = 4,209.96/x
  3. Step 3: Cross multiply
    7,353.78x = 10,148.19 × 4,209.96
  4. Step 4: Simplify right side
    7,353.78x = 42,723,473.97
  5. Step 5: Solve for x
    x = 42,723,473.97/7,353.78
  6. Step 6: Final answer
    x = 5,809.73

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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.