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Finding the Fourth Proportional to 8,314.42, 11,471.01 and 5,331.90

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Solution

The fourth proportional to 8,314.42, 11,471.01 and 5,331.90 is: 7,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.42 : 11,471.01 = 5,331.90 : x
  2. Step 2: Convert to fraction form
    8,314.42/11,471.01 = 5,331.90/x
  3. Step 3: Cross multiply
    8,314.42x = 11,471.01 × 5,331.90
  4. Step 4: Simplify right side
    8,314.42x = 61,162,258.22
  5. Step 5: Solve for x
    x = 61,162,258.22/8,314.42
  6. Step 6: Final answer
    x = 7,356.17

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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.