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Finding the Fourth Proportional to 7,486.40, 10,331.20 and 4,174.40

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Solution

The fourth proportional to 7,486.40, 10,331.20 and 4,174.40 is: 5,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.40 : 10,331.20 = 4,174.40 : x
  2. Step 2: Convert to fraction form
    7,486.40/10,331.20 = 4,174.40/x
  3. Step 3: Cross multiply
    7,486.40x = 10,331.20 × 4,174.40
  4. Step 4: Simplify right side
    7,486.40x = 43,126,561.28
  5. Step 5: Solve for x
    x = 43,126,561.28/7,486.40
  6. Step 6: Final answer
    x = 5,760.65

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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.