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Finding the Fourth Proportional to 7,531.64, 11,217.84 and 7,136.36

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Solution

The fourth proportional to 7,531.64, 11,217.84 and 7,136.36 is: 10,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.64 : 11,217.84 = 7,136.36 : x
  2. Step 2: Convert to fraction form
    7,531.64/11,217.84 = 7,136.36/x
  3. Step 3: Cross multiply
    7,531.64x = 11,217.84 × 7,136.36
  4. Step 4: Simplify right side
    7,531.64x = 80,054,544.66
  5. Step 5: Solve for x
    x = 80,054,544.66/7,531.64
  6. Step 6: Final answer
    x = 10,629.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.