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Finding the Fourth Proportional to 11,878.08, 17,817.12 and 3,112.98

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Solution

The fourth proportional to 11,878.08, 17,817.12 and 3,112.98 is: 4,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.08 : 17,817.12 = 3,112.98 : x
  2. Step 2: Convert to fraction form
    11,878.08/17,817.12 = 3,112.98/x
  3. Step 3: Cross multiply
    11,878.08x = 17,817.12 × 3,112.98
  4. Step 4: Simplify right side
    11,878.08x = 55,464,338.22
  5. Step 5: Solve for x
    x = 55,464,338.22/11,878.08
  6. Step 6: Final answer
    x = 4,669.47

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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.