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Finding the Fourth Proportional to 11,831.01, 17,746.52 and 6,640.53

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Solution

The fourth proportional to 11,831.01, 17,746.52 and 6,640.53 is: 9,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.01 : 17,746.52 = 6,640.53 : x
  2. Step 2: Convert to fraction form
    11,831.01/17,746.52 = 6,640.53/x
  3. Step 3: Cross multiply
    11,831.01x = 17,746.52 × 6,640.53
  4. Step 4: Simplify right side
    11,831.01x = 117,846,176.52
  5. Step 5: Solve for x
    x = 117,846,176.52/11,831.01
  6. Step 6: Final answer
    x = 9,960.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.