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Finding the Fourth Proportional to 11,876.66, 16,389.82 and 6,571.84

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Solution

The fourth proportional to 11,876.66, 16,389.82 and 6,571.84 is: 9,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.66 : 16,389.82 = 6,571.84 : x
  2. Step 2: Convert to fraction form
    11,876.66/16,389.82 = 6,571.84/x
  3. Step 3: Cross multiply
    11,876.66x = 16,389.82 × 6,571.84
  4. Step 4: Simplify right side
    11,876.66x = 107,711,274.67
  5. Step 5: Solve for x
    x = 107,711,274.67/11,876.66
  6. Step 6: Final answer
    x = 9,069.16

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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.