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Finding the Fourth Proportional to 10,205.53, 15,294.03 and 5,515.42

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Solution

The fourth proportional to 10,205.53, 15,294.03 and 5,515.42 is: 8,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.53 : 15,294.03 = 5,515.42 : x
  2. Step 2: Convert to fraction form
    10,205.53/15,294.03 = 5,515.42/x
  3. Step 3: Cross multiply
    10,205.53x = 15,294.03 × 5,515.42
  4. Step 4: Simplify right side
    10,205.53x = 84,353,037.18
  5. Step 5: Solve for x
    x = 84,353,037.18/10,205.53
  6. Step 6: Final answer
    x = 8,265.43

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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.