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Finding the Fourth Proportional to 11,561.80, 17,350.80 and 4,992.70

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Solution

The fourth proportional to 11,561.80, 17,350.80 and 4,992.70 is: 7,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.80 : 17,350.80 = 4,992.70 : x
  2. Step 2: Convert to fraction form
    11,561.80/17,350.80 = 4,992.70/x
  3. Step 3: Cross multiply
    11,561.80x = 17,350.80 × 4,992.70
  4. Step 4: Simplify right side
    11,561.80x = 86,627,339.16
  5. Step 5: Solve for x
    x = 86,627,339.16/11,561.80
  6. Step 6: Final answer
    x = 7,492.55

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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.