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Finding the Fourth Proportional to 11,915.10, 16,455.42 and 7,449.30

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Solution

The fourth proportional to 11,915.10, 16,455.42 and 7,449.30 is: 10,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.10 : 16,455.42 = 7,449.30 : x
  2. Step 2: Convert to fraction form
    11,915.10/16,455.42 = 7,449.30/x
  3. Step 3: Cross multiply
    11,915.10x = 16,455.42 × 7,449.30
  4. Step 4: Simplify right side
    11,915.10x = 122,581,360.21
  5. Step 5: Solve for x
    x = 122,581,360.21/11,915.10
  6. Step 6: Final answer
    x = 10,287.90

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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.