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Finding the Fourth Proportional to 10,561.16, 14,575.14 and 5,845.64

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Solution

The fourth proportional to 10,561.16, 14,575.14 and 5,845.64 is: 8,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.16 : 14,575.14 = 5,845.64 : x
  2. Step 2: Convert to fraction form
    10,561.16/14,575.14 = 5,845.64/x
  3. Step 3: Cross multiply
    10,561.16x = 14,575.14 × 5,845.64
  4. Step 4: Simplify right side
    10,561.16x = 85,201,021.39
  5. Step 5: Solve for x
    x = 85,201,021.39/10,561.16
  6. Step 6: Final answer
    x = 8,067.39

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Why These Related Problems?

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