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Finding the Fourth Proportional to 8,285.67, 11,428.02 and 5,767.92

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Solution

The fourth proportional to 8,285.67, 11,428.02 and 5,767.92 is: 7,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.67 : 11,428.02 = 5,767.92 : x
  2. Step 2: Convert to fraction form
    8,285.67/11,428.02 = 5,767.92/x
  3. Step 3: Cross multiply
    8,285.67x = 11,428.02 × 5,767.92
  4. Step 4: Simplify right side
    8,285.67x = 65,915,905.12
  5. Step 5: Solve for x
    x = 65,915,905.12/8,285.67
  6. Step 6: Final answer
    x = 7,955.41

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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.