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Finding the Fourth Proportional to 8,179.28, 11,285.90 and 4,823.16

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Solution

The fourth proportional to 8,179.28, 11,285.90 and 4,823.16 is: 6,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.28 : 11,285.90 = 4,823.16 : x
  2. Step 2: Convert to fraction form
    8,179.28/11,285.90 = 4,823.16/x
  3. Step 3: Cross multiply
    8,179.28x = 11,285.90 × 4,823.16
  4. Step 4: Simplify right side
    8,179.28x = 54,433,701.44
  5. Step 5: Solve for x
    x = 54,433,701.44/8,179.28
  6. Step 6: Final answer
    x = 6,655.07

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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.