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Finding the Fourth Proportional to 8,325.66, 11,491.29 and 5,674.14

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Solution

The fourth proportional to 8,325.66, 11,491.29 and 5,674.14 is: 7,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.66 : 11,491.29 = 5,674.14 : x
  2. Step 2: Convert to fraction form
    8,325.66/11,491.29 = 5,674.14/x
  3. Step 3: Cross multiply
    8,325.66x = 11,491.29 × 5,674.14
  4. Step 4: Simplify right side
    8,325.66x = 65,203,188.24
  5. Step 5: Solve for x
    x = 65,203,188.24/8,325.66
  6. Step 6: Final answer
    x = 7,831.59

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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.