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Finding the Fourth Proportional to 11,387.69, 17,083.55 and 3,889.50

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Solution

The fourth proportional to 11,387.69, 17,083.55 and 3,889.50 is: 5,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.69 : 17,083.55 = 3,889.50 : x
  2. Step 2: Convert to fraction form
    11,387.69/17,083.55 = 3,889.50/x
  3. Step 3: Cross multiply
    11,387.69x = 17,083.55 × 3,889.50
  4. Step 4: Simplify right side
    11,387.69x = 66,446,362.86
  5. Step 5: Solve for x
    x = 66,446,362.86/11,387.69
  6. Step 6: Final answer
    x = 5,834.93

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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.