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Finding the Fourth Proportional to 10,092, 15,138.16 and 2,796

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Solution

The fourth proportional to 10,092, 15,138.16 and 2,796 is: 4,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092 : 15,138.16 = 2,796 : x
  2. Step 2: Convert to fraction form
    10,092/15,138.16 = 2,796/x
  3. Step 3: Cross multiply
    10,092x = 15,138.16 × 2,796
  4. Step 4: Simplify right side
    10,092x = 42,326,295.36
  5. Step 5: Solve for x
    x = 42,326,295.36/10,092
  6. Step 6: Final answer
    x = 4,194.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.