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Finding the Fourth Proportional to 12,408.14, 18,611.10 and 4,510.72

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Solution

The fourth proportional to 12,408.14, 18,611.10 and 4,510.72 is: 6,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.14 : 18,611.10 = 4,510.72 : x
  2. Step 2: Convert to fraction form
    12,408.14/18,611.10 = 4,510.72/x
  3. Step 3: Cross multiply
    12,408.14x = 18,611.10 × 4,510.72
  4. Step 4: Simplify right side
    12,408.14x = 83,949,460.99
  5. Step 5: Solve for x
    x = 83,949,460.99/12,408.14
  6. Step 6: Final answer
    x = 6,765.68

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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.