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Finding the Fourth Proportional to 7,414.74, 11,108.14 and 5,763.25

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Solution

The fourth proportional to 7,414.74, 11,108.14 and 5,763.25 is: 8,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.74 : 11,108.14 = 5,763.25 : x
  2. Step 2: Convert to fraction form
    7,414.74/11,108.14 = 5,763.25/x
  3. Step 3: Cross multiply
    7,414.74x = 11,108.14 × 5,763.25
  4. Step 4: Simplify right side
    7,414.74x = 64,018,987.33
  5. Step 5: Solve for x
    x = 64,018,987.33/7,414.74
  6. Step 6: Final answer
    x = 8,634.02

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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.