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Finding the Fourth Proportional to 7,174.48, 10,761.78 and 4,090

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Solution

The fourth proportional to 7,174.48, 10,761.78 and 4,090 is: 6,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.48 : 10,761.78 = 4,090 : x
  2. Step 2: Convert to fraction form
    7,174.48/10,761.78 = 4,090/x
  3. Step 3: Cross multiply
    7,174.48x = 10,761.78 × 4,090
  4. Step 4: Simplify right side
    7,174.48x = 44,015,680.20
  5. Step 5: Solve for x
    x = 44,015,680.20/7,174.48
  6. Step 6: Final answer
    x = 6,135.03

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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.