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Finding the Fourth Proportional to 8,314.64, 11,471.19 and 6,401.04

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Solution

The fourth proportional to 8,314.64, 11,471.19 and 6,401.04 is: 8,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.64 : 11,471.19 = 6,401.04 : x
  2. Step 2: Convert to fraction form
    8,314.64/11,471.19 = 6,401.04/x
  3. Step 3: Cross multiply
    8,314.64x = 11,471.19 × 6,401.04
  4. Step 4: Simplify right side
    8,314.64x = 73,427,529.28
  5. Step 5: Solve for x
    x = 73,427,529.28/8,314.64
  6. Step 6: Final answer
    x = 8,831.12

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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.