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Finding the Fourth Proportional to 7,378.50, 10,182.42 and 4,234.98

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Solution

The fourth proportional to 7,378.50, 10,182.42 and 4,234.98 is: 5,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.50 : 10,182.42 = 4,234.98 : x
  2. Step 2: Convert to fraction form
    7,378.50/10,182.42 = 4,234.98/x
  3. Step 3: Cross multiply
    7,378.50x = 10,182.42 × 4,234.98
  4. Step 4: Simplify right side
    7,378.50x = 43,122,345.05
  5. Step 5: Solve for x
    x = 43,122,345.05/7,378.50
  6. Step 6: Final answer
    x = 5,844.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.