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Finding the Fourth Proportional to 7,378.24, 10,182.40 and 4,234.40

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Solution

The fourth proportional to 7,378.24, 10,182.40 and 4,234.40 is: 5,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.24 : 10,182.40 = 4,234.40 : x
  2. Step 2: Convert to fraction form
    7,378.24/10,182.40 = 4,234.40/x
  3. Step 3: Cross multiply
    7,378.24x = 10,182.40 × 4,234.40
  4. Step 4: Simplify right side
    7,378.24x = 43,116,354.56
  5. Step 5: Solve for x
    x = 43,116,354.56/7,378.24
  6. Step 6: Final answer
    x = 5,843.72

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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.