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Finding the Fourth Proportional to 11,792.46, 17,684.14 and 5,215.04

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Solution

The fourth proportional to 11,792.46, 17,684.14 and 5,215.04 is: 7,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.46 : 17,684.14 = 5,215.04 : x
  2. Step 2: Convert to fraction form
    11,792.46/17,684.14 = 5,215.04/x
  3. Step 3: Cross multiply
    11,792.46x = 17,684.14 × 5,215.04
  4. Step 4: Simplify right side
    11,792.46x = 92,223,497.47
  5. Step 5: Solve for x
    x = 92,223,497.47/11,792.46
  6. Step 6: Final answer
    x = 7,820.55

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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.