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Finding the Fourth Proportional to 12,853.74, 17,738.58 and 7,111.27

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Solution

The fourth proportional to 12,853.74, 17,738.58 and 7,111.27 is: 9,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.74 : 17,738.58 = 7,111.27 : x
  2. Step 2: Convert to fraction form
    12,853.74/17,738.58 = 7,111.27/x
  3. Step 3: Cross multiply
    12,853.74x = 17,738.58 × 7,111.27
  4. Step 4: Simplify right side
    12,853.74x = 126,143,831.80
  5. Step 5: Solve for x
    x = 126,143,831.80/12,853.74
  6. Step 6: Final answer
    x = 9,813.78

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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.