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Finding the Fourth Proportional to 10,199.62, 14,067.54 and 7,377.58

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Solution

The fourth proportional to 10,199.62, 14,067.54 and 7,377.58 is: 10,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.62 : 14,067.54 = 7,377.58 : x
  2. Step 2: Convert to fraction form
    10,199.62/14,067.54 = 7,377.58/x
  3. Step 3: Cross multiply
    10,199.62x = 14,067.54 × 7,377.58
  4. Step 4: Simplify right side
    10,199.62x = 103,784,401.75
  5. Step 5: Solve for x
    x = 103,784,401.75/10,199.62
  6. Step 6: Final answer
    x = 10,175.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.