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Finding the Fourth Proportional to 10,792.82, 14,894 and 6,012.71

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Solution

The fourth proportional to 10,792.82, 14,894 and 6,012.71 is: 8,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.82 : 14,894 = 6,012.71 : x
  2. Step 2: Convert to fraction form
    10,792.82/14,894 = 6,012.71/x
  3. Step 3: Cross multiply
    10,792.82x = 14,894 × 6,012.71
  4. Step 4: Simplify right side
    10,792.82x = 89,553,302.74
  5. Step 5: Solve for x
    x = 89,553,302.74/10,792.82
  6. Step 6: Final answer
    x = 8,297.49

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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.