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Finding the Fourth Proportional to 10,863.60, 16,288.11 and 4,288.02

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Solution

The fourth proportional to 10,863.60, 16,288.11 and 4,288.02 is: 6,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.60 : 16,288.11 = 4,288.02 : x
  2. Step 2: Convert to fraction form
    10,863.60/16,288.11 = 4,288.02/x
  3. Step 3: Cross multiply
    10,863.60x = 16,288.11 × 4,288.02
  4. Step 4: Simplify right side
    10,863.60x = 69,843,741.44
  5. Step 5: Solve for x
    x = 69,843,741.44/10,863.60
  6. Step 6: Final answer
    x = 6,429.15

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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.