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Finding the Fourth Proportional to 12,876.12, 19,297.78 and 5,478.59

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Solution

The fourth proportional to 12,876.12, 19,297.78 and 5,478.59 is: 8,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.12 : 19,297.78 = 5,478.59 : x
  2. Step 2: Convert to fraction form
    12,876.12/19,297.78 = 5,478.59/x
  3. Step 3: Cross multiply
    12,876.12x = 19,297.78 × 5,478.59
  4. Step 4: Simplify right side
    12,876.12x = 105,724,659.08
  5. Step 5: Solve for x
    x = 105,724,659.08/12,876.12
  6. Step 6: Final answer
    x = 8,210.91

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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.