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Finding the Fourth Proportional to 10,694.16, 16,017.48 and 8,210.70

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Solution

The fourth proportional to 10,694.16, 16,017.48 and 8,210.70 is: 12,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.16 : 16,017.48 = 8,210.70 : x
  2. Step 2: Convert to fraction form
    10,694.16/16,017.48 = 8,210.70/x
  3. Step 3: Cross multiply
    10,694.16x = 16,017.48 × 8,210.70
  4. Step 4: Simplify right side
    10,694.16x = 131,514,723.04
  5. Step 5: Solve for x
    x = 131,514,723.04/10,694.16
  6. Step 6: Final answer
    x = 12,297.81

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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.