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Finding the Fourth Proportional to 8,015.84, 12,020.36 and 3,854.88

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Solution

The fourth proportional to 8,015.84, 12,020.36 and 3,854.88 is: 5,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.84 : 12,020.36 = 3,854.88 : x
  2. Step 2: Convert to fraction form
    8,015.84/12,020.36 = 3,854.88/x
  3. Step 3: Cross multiply
    8,015.84x = 12,020.36 × 3,854.88
  4. Step 4: Simplify right side
    8,015.84x = 46,337,045.36
  5. Step 5: Solve for x
    x = 46,337,045.36/8,015.84
  6. Step 6: Final answer
    x = 5,780.68

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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.