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Finding the Fourth Proportional to 11,831.16, 17,746.72 and 5,989.44

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Solution

The fourth proportional to 11,831.16, 17,746.72 and 5,989.44 is: 8,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.16 : 17,746.72 = 5,989.44 : x
  2. Step 2: Convert to fraction form
    11,831.16/17,746.72 = 5,989.44/x
  3. Step 3: Cross multiply
    11,831.16x = 17,746.72 × 5,989.44
  4. Step 4: Simplify right side
    11,831.16x = 106,292,914.64
  5. Step 5: Solve for x
    x = 106,292,914.64/11,831.16
  6. Step 6: Final answer
    x = 8,984.15

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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.