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Finding the Fourth Proportional to 8,363, 11,536.84 and 7,036.20

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Solution

The fourth proportional to 8,363, 11,536.84 and 7,036.20 is: 9,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363 : 11,536.84 = 7,036.20 : x
  2. Step 2: Convert to fraction form
    8,363/11,536.84 = 7,036.20/x
  3. Step 3: Cross multiply
    8,363x = 11,536.84 × 7,036.20
  4. Step 4: Simplify right side
    8,363x = 81,175,513.61
  5. Step 5: Solve for x
    x = 81,175,513.61/8,363
  6. Step 6: Final answer
    x = 9,706.51

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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.