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Finding the Fourth Proportional to 10,084.85, 15,122.51 and 3,755.42

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Solution

The fourth proportional to 10,084.85, 15,122.51 and 3,755.42 is: 5,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.85 : 15,122.51 = 3,755.42 : x
  2. Step 2: Convert to fraction form
    10,084.85/15,122.51 = 3,755.42/x
  3. Step 3: Cross multiply
    10,084.85x = 15,122.51 × 3,755.42
  4. Step 4: Simplify right side
    10,084.85x = 56,791,376.50
  5. Step 5: Solve for x
    x = 56,791,376.50/10,084.85
  6. Step 6: Final answer
    x = 5,631.36

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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.