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Finding the Fourth Proportional to 11,871.84, 16,384.20 and 8,882.40

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Solution

The fourth proportional to 11,871.84, 16,384.20 and 8,882.40 is: 12,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.84 : 16,384.20 = 8,882.40 : x
  2. Step 2: Convert to fraction form
    11,871.84/16,384.20 = 8,882.40/x
  3. Step 3: Cross multiply
    11,871.84x = 16,384.20 × 8,882.40
  4. Step 4: Simplify right side
    11,871.84x = 145,531,018.08
  5. Step 5: Solve for x
    x = 145,531,018.08/11,871.84
  6. Step 6: Final answer
    x = 12,258.51

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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.