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Finding the Fourth Proportional to 7,831.12, 10,794.68 and 5,935.12

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Solution

The fourth proportional to 7,831.12, 10,794.68 and 5,935.12 is: 8,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.12 : 10,794.68 = 5,935.12 : x
  2. Step 2: Convert to fraction form
    7,831.12/10,794.68 = 5,935.12/x
  3. Step 3: Cross multiply
    7,831.12x = 10,794.68 × 5,935.12
  4. Step 4: Simplify right side
    7,831.12x = 64,067,721.16
  5. Step 5: Solve for x
    x = 64,067,721.16/7,831.12
  6. Step 6: Final answer
    x = 8,181.17

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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.