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Finding the Fourth Proportional to 11,384.01, 17,083.71 and 3,988.53

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Solution

The fourth proportional to 11,384.01, 17,083.71 and 3,988.53 is: 5,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.01 : 17,083.71 = 3,988.53 : x
  2. Step 2: Convert to fraction form
    11,384.01/17,083.71 = 3,988.53/x
  3. Step 3: Cross multiply
    11,384.01x = 17,083.71 × 3,988.53
  4. Step 4: Simplify right side
    11,384.01x = 68,138,889.85
  5. Step 5: Solve for x
    x = 68,138,889.85/11,384.01
  6. Step 6: Final answer
    x = 5,985.49

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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.