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Finding the Fourth Proportional to 10,118.95, 13,961.82 and 6,083.93

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Solution

The fourth proportional to 10,118.95, 13,961.82 and 6,083.93 is: 8,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.95 : 13,961.82 = 6,083.93 : x
  2. Step 2: Convert to fraction form
    10,118.95/13,961.82 = 6,083.93/x
  3. Step 3: Cross multiply
    10,118.95x = 13,961.82 × 6,083.93
  4. Step 4: Simplify right side
    10,118.95x = 84,942,735.55
  5. Step 5: Solve for x
    x = 84,942,735.55/10,118.95
  6. Step 6: Final answer
    x = 8,394.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.