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Finding the Fourth Proportional to 10,682.75, 16,038.71 and 7,175.04

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Solution

The fourth proportional to 10,682.75, 16,038.71 and 7,175.04 is: 10,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.75 : 16,038.71 = 7,175.04 : x
  2. Step 2: Convert to fraction form
    10,682.75/16,038.71 = 7,175.04/x
  3. Step 3: Cross multiply
    10,682.75x = 16,038.71 × 7,175.04
  4. Step 4: Simplify right side
    10,682.75x = 115,078,349.92
  5. Step 5: Solve for x
    x = 115,078,349.92/10,682.75
  6. Step 6: Final answer
    x = 10,772.36

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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.