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Finding the Fourth Proportional to 8,046.40, 12,071.28 and 2,855.68

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Solution

The fourth proportional to 8,046.40, 12,071.28 and 2,855.68 is: 4,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.40 : 12,071.28 = 2,855.68 : x
  2. Step 2: Convert to fraction form
    8,046.40/12,071.28 = 2,855.68/x
  3. Step 3: Cross multiply
    8,046.40x = 12,071.28 × 2,855.68
  4. Step 4: Simplify right side
    8,046.40x = 34,471,712.87
  5. Step 5: Solve for x
    x = 34,471,712.87/8,046.40
  6. Step 6: Final answer
    x = 4,284.12

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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.