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Finding the Fourth Proportional to 8,963.16, 13,350.07 and 8,494.77

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Solution

The fourth proportional to 8,963.16, 13,350.07 and 8,494.77 is: 12,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.16 : 13,350.07 = 8,494.77 : x
  2. Step 2: Convert to fraction form
    8,963.16/13,350.07 = 8,494.77/x
  3. Step 3: Cross multiply
    8,963.16x = 13,350.07 × 8,494.77
  4. Step 4: Simplify right side
    8,963.16x = 113,405,787.03
  5. Step 5: Solve for x
    x = 113,405,787.03/8,963.16
  6. Step 6: Final answer
    x = 12,652.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.