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Finding the Fourth Proportional to 10,170.21, 14,034.22 and 5,693.21

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Solution

The fourth proportional to 10,170.21, 14,034.22 and 5,693.21 is: 7,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.21 : 14,034.22 = 5,693.21 : x
  2. Step 2: Convert to fraction form
    10,170.21/14,034.22 = 5,693.21/x
  3. Step 3: Cross multiply
    10,170.21x = 14,034.22 × 5,693.21
  4. Step 4: Simplify right side
    10,170.21x = 79,899,761.65
  5. Step 5: Solve for x
    x = 79,899,761.65/10,170.21
  6. Step 6: Final answer
    x = 7,856.25

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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.