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Finding the Fourth Proportional to 7,850.46, 10,831.17 and 4,493.07

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Solution

The fourth proportional to 7,850.46, 10,831.17 and 4,493.07 is: 6,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.46 : 10,831.17 = 4,493.07 : x
  2. Step 2: Convert to fraction form
    7,850.46/10,831.17 = 4,493.07/x
  3. Step 3: Cross multiply
    7,850.46x = 10,831.17 × 4,493.07
  4. Step 4: Simplify right side
    7,850.46x = 48,665,204.99
  5. Step 5: Solve for x
    x = 48,665,204.99/7,850.46
  6. Step 6: Final answer
    x = 6,199.03

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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.