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Finding the Fourth Proportional to 11,046.51, 15,240.54 and 6,793.20

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Solution

The fourth proportional to 11,046.51, 15,240.54 and 6,793.20 is: 9,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.51 : 15,240.54 = 6,793.20 : x
  2. Step 2: Convert to fraction form
    11,046.51/15,240.54 = 6,793.20/x
  3. Step 3: Cross multiply
    11,046.51x = 15,240.54 × 6,793.20
  4. Step 4: Simplify right side
    11,046.51x = 103,532,036.33
  5. Step 5: Solve for x
    x = 103,532,036.33/11,046.51
  6. Step 6: Final answer
    x = 9,372.38

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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.