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Finding the Fourth Proportional to 6,141.24, 8,469.70 and 5,188.82

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Solution

The fourth proportional to 6,141.24, 8,469.70 and 5,188.82 is: 7,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.24 : 8,469.70 = 5,188.82 : x
  2. Step 2: Convert to fraction form
    6,141.24/8,469.70 = 5,188.82/x
  3. Step 3: Cross multiply
    6,141.24x = 8,469.70 × 5,188.82
  4. Step 4: Simplify right side
    6,141.24x = 43,947,693.43
  5. Step 5: Solve for x
    x = 43,947,693.43/6,141.24
  6. Step 6: Final answer
    x = 7,156.16

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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.