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Finding the Fourth Proportional to 10,068.13, 13,893.81 and 5,591.75

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Solution

The fourth proportional to 10,068.13, 13,893.81 and 5,591.75 is: 7,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.13 : 13,893.81 = 5,591.75 : x
  2. Step 2: Convert to fraction form
    10,068.13/13,893.81 = 5,591.75/x
  3. Step 3: Cross multiply
    10,068.13x = 13,893.81 × 5,591.75
  4. Step 4: Simplify right side
    10,068.13x = 77,690,712.07
  5. Step 5: Solve for x
    x = 77,690,712.07/10,068.13
  6. Step 6: Final answer
    x = 7,716.50

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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.