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Finding the Fourth Proportional to 10,523.34, 15,787.56 and 3,503.34

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Solution

The fourth proportional to 10,523.34, 15,787.56 and 3,503.34 is: 5,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.34 : 15,787.56 = 3,503.34 : x
  2. Step 2: Convert to fraction form
    10,523.34/15,787.56 = 3,503.34/x
  3. Step 3: Cross multiply
    10,523.34x = 15,787.56 × 3,503.34
  4. Step 4: Simplify right side
    10,523.34x = 55,309,190.45
  5. Step 5: Solve for x
    x = 55,309,190.45/10,523.34
  6. Step 6: Final answer
    x = 5,255.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.