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Finding the Fourth Proportional to 10,878.12, 16,309.20 and 3,478.32

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Solution

The fourth proportional to 10,878.12, 16,309.20 and 3,478.32 is: 5,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.12 : 16,309.20 = 3,478.32 : x
  2. Step 2: Convert to fraction form
    10,878.12/16,309.20 = 3,478.32/x
  3. Step 3: Cross multiply
    10,878.12x = 16,309.20 × 3,478.32
  4. Step 4: Simplify right side
    10,878.12x = 56,728,616.54
  5. Step 5: Solve for x
    x = 56,728,616.54/10,878.12
  6. Step 6: Final answer
    x = 5,214.93

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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.