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Finding the Fourth Proportional to 10,083.59, 13,913.31 and 5,891.03

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Solution

The fourth proportional to 10,083.59, 13,913.31 and 5,891.03 is: 8,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.59 : 13,913.31 = 5,891.03 : x
  2. Step 2: Convert to fraction form
    10,083.59/13,913.31 = 5,891.03/x
  3. Step 3: Cross multiply
    10,083.59x = 13,913.31 × 5,891.03
  4. Step 4: Simplify right side
    10,083.59x = 81,963,697.15
  5. Step 5: Solve for x
    x = 81,963,697.15/10,083.59
  6. Step 6: Final answer
    x = 8,128.42

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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.