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Finding the Fourth Proportional to 11,772.57, 17,658.82 and 3,007.48

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Solution

The fourth proportional to 11,772.57, 17,658.82 and 3,007.48 is: 4,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.57 : 17,658.82 = 3,007.48 : x
  2. Step 2: Convert to fraction form
    11,772.57/17,658.82 = 3,007.48/x
  3. Step 3: Cross multiply
    11,772.57x = 17,658.82 × 3,007.48
  4. Step 4: Simplify right side
    11,772.57x = 53,108,547.97
  5. Step 5: Solve for x
    x = 53,108,547.97/11,772.57
  6. Step 6: Final answer
    x = 4,511.21

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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.