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Finding the Fourth Proportional to 10,723.47, 16,067.42 and 7,587.94

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Solution

The fourth proportional to 10,723.47, 16,067.42 and 7,587.94 is: 11,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.47 : 16,067.42 = 7,587.94 : x
  2. Step 2: Convert to fraction form
    10,723.47/16,067.42 = 7,587.94/x
  3. Step 3: Cross multiply
    10,723.47x = 16,067.42 × 7,587.94
  4. Step 4: Simplify right side
    10,723.47x = 121,918,618.91
  5. Step 5: Solve for x
    x = 121,918,618.91/10,723.47
  6. Step 6: Final answer
    x = 11,369.33

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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.