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Finding the Fourth Proportional to 6,465.36, 8,912.52 and 5,065.68

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Solution

The fourth proportional to 6,465.36, 8,912.52 and 5,065.68 is: 6,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.36 : 8,912.52 = 5,065.68 : x
  2. Step 2: Convert to fraction form
    6,465.36/8,912.52 = 5,065.68/x
  3. Step 3: Cross multiply
    6,465.36x = 8,912.52 × 5,065.68
  4. Step 4: Simplify right side
    6,465.36x = 45,147,974.31
  5. Step 5: Solve for x
    x = 45,147,974.31/6,465.36
  6. Step 6: Final answer
    x = 6,983.06

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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.