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Finding the Fourth Proportional to 8,022.92, 11,073.53 and 4,878.50

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Solution

The fourth proportional to 8,022.92, 11,073.53 and 4,878.50 is: 6,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.92 : 11,073.53 = 4,878.50 : x
  2. Step 2: Convert to fraction form
    8,022.92/11,073.53 = 4,878.50/x
  3. Step 3: Cross multiply
    8,022.92x = 11,073.53 × 4,878.50
  4. Step 4: Simplify right side
    8,022.92x = 54,022,216.11
  5. Step 5: Solve for x
    x = 54,022,216.11/8,022.92
  6. Step 6: Final answer
    x = 6,733.49

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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.