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Finding the Fourth Proportional to 8,050.96, 12,073.47 and 2,784.62

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Solution

The fourth proportional to 8,050.96, 12,073.47 and 2,784.62 is: 4,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.96 : 12,073.47 = 2,784.62 : x
  2. Step 2: Convert to fraction form
    8,050.96/12,073.47 = 2,784.62/x
  3. Step 3: Cross multiply
    8,050.96x = 12,073.47 × 2,784.62
  4. Step 4: Simplify right side
    8,050.96x = 33,620,026.03
  5. Step 5: Solve for x
    x = 33,620,026.03/8,050.96
  6. Step 6: Final answer
    x = 4,175.90

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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.