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Finding the Fourth Proportional to 6,342.87, 8,750.23 and 4,105.47

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Solution

The fourth proportional to 6,342.87, 8,750.23 and 4,105.47 is: 5,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.87 : 8,750.23 = 4,105.47 : x
  2. Step 2: Convert to fraction form
    6,342.87/8,750.23 = 4,105.47/x
  3. Step 3: Cross multiply
    6,342.87x = 8,750.23 × 4,105.47
  4. Step 4: Simplify right side
    6,342.87x = 35,923,806.76
  5. Step 5: Solve for x
    x = 35,923,806.76/6,342.87
  6. Step 6: Final answer
    x = 5,663.65

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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.