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Finding the Fourth Proportional to 7,192.38, 10,778.74 and 5,435.96

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Solution

The fourth proportional to 7,192.38, 10,778.74 and 5,435.96 is: 8,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.38 : 10,778.74 = 5,435.96 : x
  2. Step 2: Convert to fraction form
    7,192.38/10,778.74 = 5,435.96/x
  3. Step 3: Cross multiply
    7,192.38x = 10,778.74 × 5,435.96
  4. Step 4: Simplify right side
    7,192.38x = 58,592,799.49
  5. Step 5: Solve for x
    x = 58,592,799.49/7,192.38
  6. Step 6: Final answer
    x = 8,146.51

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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.