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Finding the Fourth Proportional to 10,853.30, 16,268.77 and 4,934.31

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Solution

The fourth proportional to 10,853.30, 16,268.77 and 4,934.31 is: 7,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.30 : 16,268.77 = 4,934.31 : x
  2. Step 2: Convert to fraction form
    10,853.30/16,268.77 = 4,934.31/x
  3. Step 3: Cross multiply
    10,853.30x = 16,268.77 × 4,934.31
  4. Step 4: Simplify right side
    10,853.30x = 80,275,154.50
  5. Step 5: Solve for x
    x = 80,275,154.50/10,853.30
  6. Step 6: Final answer
    x = 7,396.38

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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.