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Finding the Fourth Proportional to 11,542.80, 17,314.20 and 7,606.20

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Solution

The fourth proportional to 11,542.80, 17,314.20 and 7,606.20 is: 11,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.80 : 17,314.20 = 7,606.20 : x
  2. Step 2: Convert to fraction form
    11,542.80/17,314.20 = 7,606.20/x
  3. Step 3: Cross multiply
    11,542.80x = 17,314.20 × 7,606.20
  4. Step 4: Simplify right side
    11,542.80x = 131,695,268.04
  5. Step 5: Solve for x
    x = 131,695,268.04/11,542.80
  6. Step 6: Final answer
    x = 11,409.30

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Similar ratio
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1.5x scale

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.