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Finding the Fourth Proportional to 8,983.80, 13,497.30 and 8,033.40

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Solution

The fourth proportional to 8,983.80, 13,497.30 and 8,033.40 is: 12,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.80 : 13,497.30 = 8,033.40 : x
  2. Step 2: Convert to fraction form
    8,983.80/13,497.30 = 8,033.40/x
  3. Step 3: Cross multiply
    8,983.80x = 13,497.30 × 8,033.40
  4. Step 4: Simplify right side
    8,983.80x = 108,429,209.82
  5. Step 5: Solve for x
    x = 108,429,209.82/8,983.80
  6. Step 6: Final answer
    x = 12,069.41

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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.