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Finding the Fourth Proportional to 10,305.44, 15,456.78 and 2,910.50

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Solution

The fourth proportional to 10,305.44, 15,456.78 and 2,910.50 is: 4,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.44 : 15,456.78 = 2,910.50 : x
  2. Step 2: Convert to fraction form
    10,305.44/15,456.78 = 2,910.50/x
  3. Step 3: Cross multiply
    10,305.44x = 15,456.78 × 2,910.50
  4. Step 4: Simplify right side
    10,305.44x = 44,986,958.19
  5. Step 5: Solve for x
    x = 44,986,958.19/10,305.44
  6. Step 6: Final answer
    x = 4,365.36

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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.