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Finding the Fourth Proportional to 12,410.19, 18,616.19 and 4,619

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Solution

The fourth proportional to 12,410.19, 18,616.19 and 4,619 is: 6,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.19 : 18,616.19 = 4,619 : x
  2. Step 2: Convert to fraction form
    12,410.19/18,616.19 = 4,619/x
  3. Step 3: Cross multiply
    12,410.19x = 18,616.19 × 4,619
  4. Step 4: Simplify right side
    12,410.19x = 85,988,181.61
  5. Step 5: Solve for x
    x = 85,988,181.61/12,410.19
  6. Step 6: Final answer
    x = 6,928.84

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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.