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Finding the Fourth Proportional to 10,170.46, 15,257.97 and 3,597.16

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Solution

The fourth proportional to 10,170.46, 15,257.97 and 3,597.16 is: 5,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.46 : 15,257.97 = 3,597.16 : x
  2. Step 2: Convert to fraction form
    10,170.46/15,257.97 = 3,597.16/x
  3. Step 3: Cross multiply
    10,170.46x = 15,257.97 × 3,597.16
  4. Step 4: Simplify right side
    10,170.46x = 54,885,349.83
  5. Step 5: Solve for x
    x = 54,885,349.83/10,170.46
  6. Step 6: Final answer
    x = 5,396.54

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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.