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Finding the Fourth Proportional to 11,464.46, 15,824.25 and 7,431.14

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Solution

The fourth proportional to 11,464.46, 15,824.25 and 7,431.14 is: 10,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.46 : 15,824.25 = 7,431.14 : x
  2. Step 2: Convert to fraction form
    11,464.46/15,824.25 = 7,431.14/x
  3. Step 3: Cross multiply
    11,464.46x = 15,824.25 × 7,431.14
  4. Step 4: Simplify right side
    11,464.46x = 117,592,138.02
  5. Step 5: Solve for x
    x = 117,592,138.02/11,464.46
  6. Step 6: Final answer
    x = 10,257.11

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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.