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Finding the Fourth Proportional to 10,701.72, 16,039.08 and 8,216.64

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Solution

The fourth proportional to 10,701.72, 16,039.08 and 8,216.64 is: 12,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.72 : 16,039.08 = 8,216.64 : x
  2. Step 2: Convert to fraction form
    10,701.72/16,039.08 = 8,216.64/x
  3. Step 3: Cross multiply
    10,701.72x = 16,039.08 × 8,216.64
  4. Step 4: Simplify right side
    10,701.72x = 131,787,346.29
  5. Step 5: Solve for x
    x = 131,787,346.29/10,701.72
  6. Step 6: Final answer
    x = 12,314.59

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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.