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Finding the Fourth Proportional to 8,026.96, 12,012.86 and 5,064.04

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Solution

The fourth proportional to 8,026.96, 12,012.86 and 5,064.04 is: 7,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.96 : 12,012.86 = 5,064.04 : x
  2. Step 2: Convert to fraction form
    8,026.96/12,012.86 = 5,064.04/x
  3. Step 3: Cross multiply
    8,026.96x = 12,012.86 × 5,064.04
  4. Step 4: Simplify right side
    8,026.96x = 60,833,578.23
  5. Step 5: Solve for x
    x = 60,833,578.23/8,026.96
  6. Step 6: Final answer
    x = 7,578.66

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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.