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Finding the Fourth Proportional to 11,684.51, 17,531.89 and 6,136.57

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Solution

The fourth proportional to 11,684.51, 17,531.89 and 6,136.57 is: 9,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.51 : 17,531.89 = 6,136.57 : x
  2. Step 2: Convert to fraction form
    11,684.51/17,531.89 = 6,136.57/x
  3. Step 3: Cross multiply
    11,684.51x = 17,531.89 × 6,136.57
  4. Step 4: Simplify right side
    11,684.51x = 107,585,670.22
  5. Step 5: Solve for x
    x = 107,585,670.22/11,684.51
  6. Step 6: Final answer
    x = 9,207.55

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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.