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Finding the Fourth Proportional to 11,552.25, 17,315.71 and 4,531.07

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Solution

The fourth proportional to 11,552.25, 17,315.71 and 4,531.07 is: 6,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.25 : 17,315.71 = 4,531.07 : x
  2. Step 2: Convert to fraction form
    11,552.25/17,315.71 = 4,531.07/x
  3. Step 3: Cross multiply
    11,552.25x = 17,315.71 × 4,531.07
  4. Step 4: Simplify right side
    11,552.25x = 78,458,726.07
  5. Step 5: Solve for x
    x = 78,458,726.07/11,552.25
  6. Step 6: Final answer
    x = 6,791.64

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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.