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Finding the Fourth Proportional to 10,068.21, 13,894.75 and 5,591.99

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Solution

The fourth proportional to 10,068.21, 13,894.75 and 5,591.99 is: 7,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.21 : 13,894.75 = 5,591.99 : x
  2. Step 2: Convert to fraction form
    10,068.21/13,894.75 = 5,591.99/x
  3. Step 3: Cross multiply
    10,068.21x = 13,894.75 × 5,591.99
  4. Step 4: Simplify right side
    10,068.21x = 77,699,303.05
  5. Step 5: Solve for x
    x = 77,699,303.05/10,068.21
  6. Step 6: Final answer
    x = 7,717.29

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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.