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Finding the Fourth Proportional to 11,792.54, 17,691.69 and 4,869.02

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Solution

The fourth proportional to 11,792.54, 17,691.69 and 4,869.02 is: 7,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.54 : 17,691.69 = 4,869.02 : x
  2. Step 2: Convert to fraction form
    11,792.54/17,691.69 = 4,869.02/x
  3. Step 3: Cross multiply
    11,792.54x = 17,691.69 × 4,869.02
  4. Step 4: Simplify right side
    11,792.54x = 86,141,192.44
  5. Step 5: Solve for x
    x = 86,141,192.44/11,792.54
  6. Step 6: Final answer
    x = 7,304.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.