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Finding the Fourth Proportional to 11,563.93, 17,330.36 and 6,005.71

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Solution

The fourth proportional to 11,563.93, 17,330.36 and 6,005.71 is: 9,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.93 : 17,330.36 = 6,005.71 : x
  2. Step 2: Convert to fraction form
    11,563.93/17,330.36 = 6,005.71/x
  3. Step 3: Cross multiply
    11,563.93x = 17,330.36 × 6,005.71
  4. Step 4: Simplify right side
    11,563.93x = 104,081,086.33
  5. Step 5: Solve for x
    x = 104,081,086.33/11,563.93
  6. Step 6: Final answer
    x = 9,000.49

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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.