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Finding the Fourth Proportional to 8,396.31, 11,585.69 and 5,038.41

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Solution

The fourth proportional to 8,396.31, 11,585.69 and 5,038.41 is: 6,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.31 : 11,585.69 = 5,038.41 : x
  2. Step 2: Convert to fraction form
    8,396.31/11,585.69 = 5,038.41/x
  3. Step 3: Cross multiply
    8,396.31x = 11,585.69 × 5,038.41
  4. Step 4: Simplify right side
    8,396.31x = 58,373,431.16
  5. Step 5: Solve for x
    x = 58,373,431.16/8,396.31
  6. Step 6: Final answer
    x = 6,952.27

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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.