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Finding the Fourth Proportional to 6,141.24, 8,454.16 and 5,549.92

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Solution

The fourth proportional to 6,141.24, 8,454.16 and 5,549.92 is: 7,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.24 : 8,454.16 = 5,549.92 : x
  2. Step 2: Convert to fraction form
    6,141.24/8,454.16 = 5,549.92/x
  3. Step 3: Cross multiply
    6,141.24x = 8,454.16 × 5,549.92
  4. Step 4: Simplify right side
    6,141.24x = 46,919,911.67
  5. Step 5: Solve for x
    x = 46,919,911.67/6,141.24
  6. Step 6: Final answer
    x = 7,640.14

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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.