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Finding the Fourth Proportional to 10,193.90, 14,068.17 and 5,717.90

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Solution

The fourth proportional to 10,193.90, 14,068.17 and 5,717.90 is: 7,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.90 : 14,068.17 = 5,717.90 : x
  2. Step 2: Convert to fraction form
    10,193.90/14,068.17 = 5,717.90/x
  3. Step 3: Cross multiply
    10,193.90x = 14,068.17 × 5,717.90
  4. Step 4: Simplify right side
    10,193.90x = 80,440,318.90
  5. Step 5: Solve for x
    x = 80,440,318.90/10,193.90
  6. Step 6: Final answer
    x = 7,891.03

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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.