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Finding the Fourth Proportional to 11,357.11, 17,038.38 and 3,565.92

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Solution

The fourth proportional to 11,357.11, 17,038.38 and 3,565.92 is: 5,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.11 : 17,038.38 = 3,565.92 : x
  2. Step 2: Convert to fraction form
    11,357.11/17,038.38 = 3,565.92/x
  3. Step 3: Cross multiply
    11,357.11x = 17,038.38 × 3,565.92
  4. Step 4: Simplify right side
    11,357.11x = 60,757,500.01
  5. Step 5: Solve for x
    x = 60,757,500.01/11,357.11
  6. Step 6: Final answer
    x = 5,349.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.