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Finding the Fourth Proportional to 11,760.84, 17,641.26 and 5,609.16

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Solution

The fourth proportional to 11,760.84, 17,641.26 and 5,609.16 is: 8,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.84 : 17,641.26 = 5,609.16 : x
  2. Step 2: Convert to fraction form
    11,760.84/17,641.26 = 5,609.16/x
  3. Step 3: Cross multiply
    11,760.84x = 17,641.26 × 5,609.16
  4. Step 4: Simplify right side
    11,760.84x = 98,952,649.94
  5. Step 5: Solve for x
    x = 98,952,649.94/11,760.84
  6. Step 6: Final answer
    x = 8,413.74

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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.