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Finding the Fourth Proportional to 11,772.48, 17,658.71 and 4,378.80

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Solution

The fourth proportional to 11,772.48, 17,658.71 and 4,378.80 is: 6,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.48 : 17,658.71 = 4,378.80 : x
  2. Step 2: Convert to fraction form
    11,772.48/17,658.71 = 4,378.80/x
  3. Step 3: Cross multiply
    11,772.48x = 17,658.71 × 4,378.80
  4. Step 4: Simplify right side
    11,772.48x = 77,323,959.35
  5. Step 5: Solve for x
    x = 77,323,959.35/11,772.48
  6. Step 6: Final answer
    x = 6,568.20

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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.