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Finding the Fourth Proportional to 7,408.14, 11,113.95 and 2,214.15

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Solution

The fourth proportional to 7,408.14, 11,113.95 and 2,214.15 is: 3,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.14 : 11,113.95 = 2,214.15 : x
  2. Step 2: Convert to fraction form
    7,408.14/11,113.95 = 2,214.15/x
  3. Step 3: Cross multiply
    7,408.14x = 11,113.95 × 2,214.15
  4. Step 4: Simplify right side
    7,408.14x = 24,607,952.39
  5. Step 5: Solve for x
    x = 24,607,952.39/7,408.14
  6. Step 6: Final answer
    x = 3,321.75

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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.