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Finding the Fourth Proportional to 10,244.91, 14,144.94 and 7,850.64

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Solution

The fourth proportional to 10,244.91, 14,144.94 and 7,850.64 is: 10,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.91 : 14,144.94 = 7,850.64 : x
  2. Step 2: Convert to fraction form
    10,244.91/14,144.94 = 7,850.64/x
  3. Step 3: Cross multiply
    10,244.91x = 14,144.94 × 7,850.64
  4. Step 4: Simplify right side
    10,244.91x = 111,046,831.76
  5. Step 5: Solve for x
    x = 111,046,831.76/10,244.91
  6. Step 6: Final answer
    x = 10,839.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.