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Finding the Fourth Proportional to 10,862.82, 14,991.42 and 6,083.19

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Solution

The fourth proportional to 10,862.82, 14,991.42 and 6,083.19 is: 8,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.82 : 14,991.42 = 6,083.19 : x
  2. Step 2: Convert to fraction form
    10,862.82/14,991.42 = 6,083.19/x
  3. Step 3: Cross multiply
    10,862.82x = 14,991.42 × 6,083.19
  4. Step 4: Simplify right side
    10,862.82x = 91,195,656.23
  5. Step 5: Solve for x
    x = 91,195,656.23/10,862.82
  6. Step 6: Final answer
    x = 8,395.21

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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.