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Finding the Fourth Proportional to 10,605.68, 15,906.32 and 4,029.56

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Solution

The fourth proportional to 10,605.68, 15,906.32 and 4,029.56 is: 6,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.68 : 15,906.32 = 4,029.56 : x
  2. Step 2: Convert to fraction form
    10,605.68/15,906.32 = 4,029.56/x
  3. Step 3: Cross multiply
    10,605.68x = 15,906.32 × 4,029.56
  4. Step 4: Simplify right side
    10,605.68x = 64,095,470.82
  5. Step 5: Solve for x
    x = 64,095,470.82/10,605.68
  6. Step 6: Final answer
    x = 6,043.50

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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.