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Finding the Fourth Proportional to 7,683.68, 11,524.91 and 2,752.80

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Solution

The fourth proportional to 7,683.68, 11,524.91 and 2,752.80 is: 4,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.68 : 11,524.91 = 2,752.80 : x
  2. Step 2: Convert to fraction form
    7,683.68/11,524.91 = 2,752.80/x
  3. Step 3: Cross multiply
    7,683.68x = 11,524.91 × 2,752.80
  4. Step 4: Simplify right side
    7,683.68x = 31,725,758.48
  5. Step 5: Solve for x
    x = 31,725,758.48/7,683.68
  6. Step 6: Final answer
    x = 4,128.98

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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.