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Finding the Fourth Proportional to 11,878.31, 17,817.16 and 6,888.12

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Solution

The fourth proportional to 11,878.31, 17,817.16 and 6,888.12 is: 10,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.31 : 17,817.16 = 6,888.12 : x
  2. Step 2: Convert to fraction form
    11,878.31/17,817.16 = 6,888.12/x
  3. Step 3: Cross multiply
    11,878.31x = 17,817.16 × 6,888.12
  4. Step 4: Simplify right side
    11,878.31x = 122,726,736.14
  5. Step 5: Solve for x
    x = 122,726,736.14/11,878.31
  6. Step 6: Final answer
    x = 10,332.00

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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.