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Finding the Fourth Proportional to 11,792.52, 17,678.46 and 4,768.20

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Solution

The fourth proportional to 11,792.52, 17,678.46 and 4,768.20 is: 7,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.52 : 17,678.46 = 4,768.20 : x
  2. Step 2: Convert to fraction form
    11,792.52/17,678.46 = 4,768.20/x
  3. Step 3: Cross multiply
    11,792.52x = 17,678.46 × 4,768.20
  4. Step 4: Simplify right side
    11,792.52x = 84,294,432.97
  5. Step 5: Solve for x
    x = 84,294,432.97/11,792.52
  6. Step 6: Final answer
    x = 7,148.13

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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.