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Finding the Fourth Proportional to 7,481.31, 11,225.20 and 4,014.51

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Solution

The fourth proportional to 7,481.31, 11,225.20 and 4,014.51 is: 6,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.31 : 11,225.20 = 4,014.51 : x
  2. Step 2: Convert to fraction form
    7,481.31/11,225.20 = 4,014.51/x
  3. Step 3: Cross multiply
    7,481.31x = 11,225.20 × 4,014.51
  4. Step 4: Simplify right side
    7,481.31x = 45,063,677.65
  5. Step 5: Solve for x
    x = 45,063,677.65/7,481.31
  6. Step 6: Final answer
    x = 6,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.