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Finding the Fourth Proportional to 11,565.33, 17,357.82 and 4,550.25

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Solution

The fourth proportional to 11,565.33, 17,357.82 and 4,550.25 is: 6,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.33 : 17,357.82 = 4,550.25 : x
  2. Step 2: Convert to fraction form
    11,565.33/17,357.82 = 4,550.25/x
  3. Step 3: Cross multiply
    11,565.33x = 17,357.82 × 4,550.25
  4. Step 4: Simplify right side
    11,565.33x = 78,982,420.46
  5. Step 5: Solve for x
    x = 78,982,420.46/11,565.33
  6. Step 6: Final answer
    x = 6,829.24

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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.