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Finding the Fourth Proportional to 10,251.63, 15,388.79 and 7,342.92

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Solution

The fourth proportional to 10,251.63, 15,388.79 and 7,342.92 is: 11,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.63 : 15,388.79 = 7,342.92 : x
  2. Step 2: Convert to fraction form
    10,251.63/15,388.79 = 7,342.92/x
  3. Step 3: Cross multiply
    10,251.63x = 15,388.79 × 7,342.92
  4. Step 4: Simplify right side
    10,251.63x = 112,998,617.15
  5. Step 5: Solve for x
    x = 112,998,617.15/10,251.63
  6. Step 6: Final answer
    x = 11,022.50

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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.