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Finding the Fourth Proportional to 11,770.42, 17,657.55 and 3,560.50

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Solution

The fourth proportional to 11,770.42, 17,657.55 and 3,560.50 is: 5,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.42 : 17,657.55 = 3,560.50 : x
  2. Step 2: Convert to fraction form
    11,770.42/17,657.55 = 3,560.50/x
  3. Step 3: Cross multiply
    11,770.42x = 17,657.55 × 3,560.50
  4. Step 4: Simplify right side
    11,770.42x = 62,869,706.78
  5. Step 5: Solve for x
    x = 62,869,706.78/11,770.42
  6. Step 6: Final answer
    x = 5,341.33

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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.