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Finding the Fourth Proportional to 7,353.21, 10,138.19 and 6,142.40

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Solution

The fourth proportional to 7,353.21, 10,138.19 and 6,142.40 is: 8,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.21 : 10,138.19 = 6,142.40 : x
  2. Step 2: Convert to fraction form
    7,353.21/10,138.19 = 6,142.40/x
  3. Step 3: Cross multiply
    7,353.21x = 10,138.19 × 6,142.40
  4. Step 4: Simplify right side
    7,353.21x = 62,272,736.85
  5. Step 5: Solve for x
    x = 62,272,736.85/7,353.21
  6. Step 6: Final answer
    x = 8,468.78

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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.