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Finding the Fourth Proportional to 8,283.82, 11,435.91 and 6,391.16

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Solution

The fourth proportional to 8,283.82, 11,435.91 and 6,391.16 is: 8,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.82 : 11,435.91 = 6,391.16 : x
  2. Step 2: Convert to fraction form
    8,283.82/11,435.91 = 6,391.16/x
  3. Step 3: Cross multiply
    8,283.82x = 11,435.91 × 6,391.16
  4. Step 4: Simplify right side
    8,283.82x = 73,088,730.56
  5. Step 5: Solve for x
    x = 73,088,730.56/8,283.82
  6. Step 6: Final answer
    x = 8,823.07

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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.