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Finding the Fourth Proportional to 10,170.84, 14,034.78 and 5,694.24

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Solution

The fourth proportional to 10,170.84, 14,034.78 and 5,694.24 is: 7,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.84 : 14,034.78 = 5,694.24 : x
  2. Step 2: Convert to fraction form
    10,170.84/14,034.78 = 5,694.24/x
  3. Step 3: Cross multiply
    10,170.84x = 14,034.78 × 5,694.24
  4. Step 4: Simplify right side
    10,170.84x = 79,917,405.67
  5. Step 5: Solve for x
    x = 79,917,405.67/10,170.84
  6. Step 6: Final answer
    x = 7,857.50

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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.