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Finding the Fourth Proportional to 7,831.96, 10,816.18 and 6,767.56

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Solution

The fourth proportional to 7,831.96, 10,816.18 and 6,767.56 is: 9,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.96 : 10,816.18 = 6,767.56 : x
  2. Step 2: Convert to fraction form
    7,831.96/10,816.18 = 6,767.56/x
  3. Step 3: Cross multiply
    7,831.96x = 10,816.18 × 6,767.56
  4. Step 4: Simplify right side
    7,831.96x = 73,199,147.12
  5. Step 5: Solve for x
    x = 73,199,147.12/7,831.96
  6. Step 6: Final answer
    x = 9,346.21

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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.