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Finding the Fourth Proportional to 11,831.01, 17,721.08 and 5,581.66

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Solution

The fourth proportional to 11,831.01, 17,721.08 and 5,581.66 is: 8,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.01 : 17,721.08 = 5,581.66 : x
  2. Step 2: Convert to fraction form
    11,831.01/17,721.08 = 5,581.66/x
  3. Step 3: Cross multiply
    11,831.01x = 17,721.08 × 5,581.66
  4. Step 4: Simplify right side
    11,831.01x = 98,913,043.39
  5. Step 5: Solve for x
    x = 98,913,043.39/11,831.01
  6. Step 6: Final answer
    x = 8,360.49

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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.