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Finding the Fourth Proportional to 10,171.74, 14,036.91 and 5,695.44

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Solution

The fourth proportional to 10,171.74, 14,036.91 and 5,695.44 is: 7,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.74 : 14,036.91 = 5,695.44 : x
  2. Step 2: Convert to fraction form
    10,171.74/14,036.91 = 5,695.44/x
  3. Step 3: Cross multiply
    10,171.74x = 14,036.91 × 5,695.44
  4. Step 4: Simplify right side
    10,171.74x = 79,946,378.69
  5. Step 5: Solve for x
    x = 79,946,378.69/10,171.74
  6. Step 6: Final answer
    x = 7,859.66

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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.