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Finding the Fourth Proportional to 8,792.75, 12,134 and 4,814.12

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Solution

The fourth proportional to 8,792.75, 12,134 and 4,814.12 is: 6,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,792.75 : 12,134 = 4,814.12 : x
  2. Step 2: Convert to fraction form
    8,792.75/12,134 = 4,814.12/x
  3. Step 3: Cross multiply
    8,792.75x = 12,134 × 4,814.12
  4. Step 4: Simplify right side
    8,792.75x = 58,414,471.41
  5. Step 5: Solve for x
    x = 58,414,471.41/8,792.75
  6. Step 6: Final answer
    x = 6,643.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.