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Finding the Fourth Proportional to 10,264.86, 15,399.72 and 5,336.82

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Solution

The fourth proportional to 10,264.86, 15,399.72 and 5,336.82 is: 8,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.86 : 15,399.72 = 5,336.82 : x
  2. Step 2: Convert to fraction form
    10,264.86/15,399.72 = 5,336.82/x
  3. Step 3: Cross multiply
    10,264.86x = 15,399.72 × 5,336.82
  4. Step 4: Simplify right side
    10,264.86x = 82,185,533.69
  5. Step 5: Solve for x
    x = 82,185,533.69/10,264.86
  6. Step 6: Final answer
    x = 8,006.49

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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.