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Finding the Fourth Proportional to 10,792, 14,892.96 and 6,077.44

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Solution

The fourth proportional to 10,792, 14,892.96 and 6,077.44 is: 8,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792 : 14,892.96 = 6,077.44 : x
  2. Step 2: Convert to fraction form
    10,792/14,892.96 = 6,077.44/x
  3. Step 3: Cross multiply
    10,792x = 14,892.96 × 6,077.44
  4. Step 4: Simplify right side
    10,792x = 90,511,070.82
  5. Step 5: Solve for x
    x = 90,511,070.82/10,792
  6. Step 6: Final answer
    x = 8,386.87

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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.