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Finding the Fourth Proportional to 11,522.41, 15,902.12 and 7,049.14

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Solution

The fourth proportional to 11,522.41, 15,902.12 and 7,049.14 is: 9,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.41 : 15,902.12 = 7,049.14 : x
  2. Step 2: Convert to fraction form
    11,522.41/15,902.12 = 7,049.14/x
  3. Step 3: Cross multiply
    11,522.41x = 15,902.12 × 7,049.14
  4. Step 4: Simplify right side
    11,522.41x = 112,096,270.18
  5. Step 5: Solve for x
    x = 112,096,270.18/11,522.41
  6. Step 6: Final answer
    x = 9,728.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.