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Finding the Fourth Proportional to 11,015.12, 15,180.36 and 7,478.48

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Solution

The fourth proportional to 11,015.12, 15,180.36 and 7,478.48 is: 10,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.12 : 15,180.36 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    11,015.12/15,180.36 = 7,478.48/x
  3. Step 3: Cross multiply
    11,015.12x = 15,180.36 × 7,478.48
  4. Step 4: Simplify right side
    11,015.12x = 113,526,018.65
  5. Step 5: Solve for x
    x = 113,526,018.65/11,015.12
  6. Step 6: Final answer
    x = 10,306.38

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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.