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Finding the Fourth Proportional to 11,754.85, 16,220.66 and 6,718.07

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Solution

The fourth proportional to 11,754.85, 16,220.66 and 6,718.07 is: 9,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.85 : 16,220.66 = 6,718.07 : x
  2. Step 2: Convert to fraction form
    11,754.85/16,220.66 = 6,718.07/x
  3. Step 3: Cross multiply
    11,754.85x = 16,220.66 × 6,718.07
  4. Step 4: Simplify right side
    11,754.85x = 108,971,529.33
  5. Step 5: Solve for x
    x = 108,971,529.33/11,754.85
  6. Step 6: Final answer
    x = 9,270.35

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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.