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Finding the Fourth Proportional to 8,722.96, 13,083.16 and 2,878.82

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Solution

The fourth proportional to 8,722.96, 13,083.16 and 2,878.82 is: 4,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.96 : 13,083.16 = 2,878.82 : x
  2. Step 2: Convert to fraction form
    8,722.96/13,083.16 = 2,878.82/x
  3. Step 3: Cross multiply
    8,722.96x = 13,083.16 × 2,878.82
  4. Step 4: Simplify right side
    8,722.96x = 37,664,062.67
  5. Step 5: Solve for x
    x = 37,664,062.67/8,722.96
  6. Step 6: Final answer
    x = 4,317.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.