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Finding the Fourth Proportional to 8,178.84, 12,258.81 and 3,787.11

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Solution

The fourth proportional to 8,178.84, 12,258.81 and 3,787.11 is: 5,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.84 : 12,258.81 = 3,787.11 : x
  2. Step 2: Convert to fraction form
    8,178.84/12,258.81 = 3,787.11/x
  3. Step 3: Cross multiply
    8,178.84x = 12,258.81 × 3,787.11
  4. Step 4: Simplify right side
    8,178.84x = 46,425,461.94
  5. Step 5: Solve for x
    x = 46,425,461.94/8,178.84
  6. Step 6: Final answer
    x = 5,676.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.