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Finding the Fourth Proportional to 12,410.32, 18,610.62 and 4,616.68

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Solution

The fourth proportional to 12,410.32, 18,610.62 and 4,616.68 is: 6,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.32 : 18,610.62 = 4,616.68 : x
  2. Step 2: Convert to fraction form
    12,410.32/18,610.62 = 4,616.68/x
  3. Step 3: Cross multiply
    12,410.32x = 18,610.62 × 4,616.68
  4. Step 4: Simplify right side
    12,410.32x = 85,919,277.14
  5. Step 5: Solve for x
    x = 85,919,277.14/12,410.32
  6. Step 6: Final answer
    x = 6,923.21

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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.