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Finding the Fourth Proportional to 8,963.84, 12,369.84 and 5,187.62

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Solution

The fourth proportional to 8,963.84, 12,369.84 and 5,187.62 is: 7,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.84 : 12,369.84 = 5,187.62 : x
  2. Step 2: Convert to fraction form
    8,963.84/12,369.84 = 5,187.62/x
  3. Step 3: Cross multiply
    8,963.84x = 12,369.84 × 5,187.62
  4. Step 4: Simplify right side
    8,963.84x = 64,170,029.38
  5. Step 5: Solve for x
    x = 64,170,029.38/8,963.84
  6. Step 6: Final answer
    x = 7,158.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.