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Finding the Fourth Proportional to 11,569.72, 17,357.32 and 3,778.50

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Solution

The fourth proportional to 11,569.72, 17,357.32 and 3,778.50 is: 5,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.72 : 17,357.32 = 3,778.50 : x
  2. Step 2: Convert to fraction form
    11,569.72/17,357.32 = 3,778.50/x
  3. Step 3: Cross multiply
    11,569.72x = 17,357.32 × 3,778.50
  4. Step 4: Simplify right side
    11,569.72x = 65,584,633.62
  5. Step 5: Solve for x
    x = 65,584,633.62/11,569.72
  6. Step 6: Final answer
    x = 5,668.64

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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.