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Finding the Fourth Proportional to 11,463.57, 17,197.83 and 3,565.93

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Solution

The fourth proportional to 11,463.57, 17,197.83 and 3,565.93 is: 5,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.57 : 17,197.83 = 3,565.93 : x
  2. Step 2: Convert to fraction form
    11,463.57/17,197.83 = 3,565.93/x
  3. Step 3: Cross multiply
    11,463.57x = 17,197.83 × 3,565.93
  4. Step 4: Simplify right side
    11,463.57x = 61,326,257.93
  5. Step 5: Solve for x
    x = 61,326,257.93/11,463.57
  6. Step 6: Final answer
    x = 5,349.66

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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.