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Finding the Fourth Proportional to 8,292.49, 11,442.79 and 5,105.28

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Solution

The fourth proportional to 8,292.49, 11,442.79 and 5,105.28 is: 7,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.49 : 11,442.79 = 5,105.28 : x
  2. Step 2: Convert to fraction form
    8,292.49/11,442.79 = 5,105.28/x
  3. Step 3: Cross multiply
    8,292.49x = 11,442.79 × 5,105.28
  4. Step 4: Simplify right side
    8,292.49x = 58,418,646.22
  5. Step 5: Solve for x
    x = 58,418,646.22/8,292.49
  6. Step 6: Final answer
    x = 7,044.77

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