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Finding the Fourth Proportional to 7,408.31, 11,114.55 and 2,478.24

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Solution

The fourth proportional to 7,408.31, 11,114.55 and 2,478.24 is: 3,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.31 : 11,114.55 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    7,408.31/11,114.55 = 2,478.24/x
  3. Step 3: Cross multiply
    7,408.31x = 11,114.55 × 2,478.24
  4. Step 4: Simplify right side
    7,408.31x = 27,544,522.39
  5. Step 5: Solve for x
    x = 27,544,522.39/7,408.31
  6. Step 6: Final answer
    x = 3,718.06

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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.