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Finding the Fourth Proportional to 8,770.50, 13,153.80 and 2,529.12

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Solution

The fourth proportional to 8,770.50, 13,153.80 and 2,529.12 is: 3,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.50 : 13,153.80 = 2,529.12 : x
  2. Step 2: Convert to fraction form
    8,770.50/13,153.80 = 2,529.12/x
  3. Step 3: Cross multiply
    8,770.50x = 13,153.80 × 2,529.12
  4. Step 4: Simplify right side
    8,770.50x = 33,267,538.66
  5. Step 5: Solve for x
    x = 33,267,538.66/8,770.50
  6. Step 6: Final answer
    x = 3,793.12

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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.