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Finding the Fourth Proportional to 11,398.50, 17,083.71 and 8,093.70

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Solution

The fourth proportional to 11,398.50, 17,083.71 and 8,093.70 is: 12,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.50 : 17,083.71 = 8,093.70 : x
  2. Step 2: Convert to fraction form
    11,398.50/17,083.71 = 8,093.70/x
  3. Step 3: Cross multiply
    11,398.50x = 17,083.71 × 8,093.70
  4. Step 4: Simplify right side
    11,398.50x = 138,270,423.63
  5. Step 5: Solve for x
    x = 138,270,423.63/11,398.50
  6. Step 6: Final answer
    x = 12,130.58

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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.