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Finding the Fourth Proportional to 10,831.41, 16,244.78 and 6,325.46

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Solution

The fourth proportional to 10,831.41, 16,244.78 and 6,325.46 is: 9,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.41 : 16,244.78 = 6,325.46 : x
  2. Step 2: Convert to fraction form
    10,831.41/16,244.78 = 6,325.46/x
  3. Step 3: Cross multiply
    10,831.41x = 16,244.78 × 6,325.46
  4. Step 4: Simplify right side
    10,831.41x = 102,755,593.25
  5. Step 5: Solve for x
    x = 102,755,593.25/10,831.41
  6. Step 6: Final answer
    x = 9,486.82

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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.