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Finding the Fourth Proportional to 7,378.77, 10,182.72 and 4,234.75

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Solution

The fourth proportional to 7,378.77, 10,182.72 and 4,234.75 is: 5,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.77 : 10,182.72 = 4,234.75 : x
  2. Step 2: Convert to fraction form
    7,378.77/10,182.72 = 4,234.75/x
  3. Step 3: Cross multiply
    7,378.77x = 10,182.72 × 4,234.75
  4. Step 4: Simplify right side
    7,378.77x = 43,121,273.52
  5. Step 5: Solve for x
    x = 43,121,273.52/7,378.77
  6. Step 6: Final answer
    x = 5,843.96

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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.