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Finding the Fourth Proportional to 8,283.67, 11,432.88 and 5,299.36

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Solution

The fourth proportional to 8,283.67, 11,432.88 and 5,299.36 is: 7,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.67 : 11,432.88 = 5,299.36 : x
  2. Step 2: Convert to fraction form
    8,283.67/11,432.88 = 5,299.36/x
  3. Step 3: Cross multiply
    8,283.67x = 11,432.88 × 5,299.36
  4. Step 4: Simplify right side
    8,283.67x = 60,586,918.37
  5. Step 5: Solve for x
    x = 60,586,918.37/8,283.67
  6. Step 6: Final answer
    x = 7,314.02

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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.