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Finding the Fourth Proportional to 10,853.78, 16,281.07 and 3,062.80

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Solution

The fourth proportional to 10,853.78, 16,281.07 and 3,062.80 is: 4,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.78 : 16,281.07 = 3,062.80 : x
  2. Step 2: Convert to fraction form
    10,853.78/16,281.07 = 3,062.80/x
  3. Step 3: Cross multiply
    10,853.78x = 16,281.07 × 3,062.80
  4. Step 4: Simplify right side
    10,853.78x = 49,865,661.20
  5. Step 5: Solve for x
    x = 49,865,661.20/10,853.78
  6. Step 6: Final answer
    x = 4,594.31

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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.