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Finding the Fourth Proportional to 10,682.25, 16,024.29 and 2,785.81

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Solution

The fourth proportional to 10,682.25, 16,024.29 and 2,785.81 is: 4,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.25 : 16,024.29 = 2,785.81 : x
  2. Step 2: Convert to fraction form
    10,682.25/16,024.29 = 2,785.81/x
  3. Step 3: Cross multiply
    10,682.25x = 16,024.29 × 2,785.81
  4. Step 4: Simplify right side
    10,682.25x = 44,640,653.46
  5. Step 5: Solve for x
    x = 44,640,653.46/10,682.25
  6. Step 6: Final answer
    x = 4,178.96

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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.