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Finding the Fourth Proportional to 11,405.52, 17,110.91 and 4,831.97

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Solution

The fourth proportional to 11,405.52, 17,110.91 and 4,831.97 is: 7,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.52 : 17,110.91 = 4,831.97 : x
  2. Step 2: Convert to fraction form
    11,405.52/17,110.91 = 4,831.97/x
  3. Step 3: Cross multiply
    11,405.52x = 17,110.91 × 4,831.97
  4. Step 4: Simplify right side
    11,405.52x = 82,679,330.32
  5. Step 5: Solve for x
    x = 82,679,330.32/11,405.52
  6. Step 6: Final answer
    x = 7,249.06

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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.