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Finding the Fourth Proportional to 8,276.30, 11,414.89 and 6,037.39

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Solution

The fourth proportional to 8,276.30, 11,414.89 and 6,037.39 is: 8,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.30 : 11,414.89 = 6,037.39 : x
  2. Step 2: Convert to fraction form
    8,276.30/11,414.89 = 6,037.39/x
  3. Step 3: Cross multiply
    8,276.30x = 11,414.89 × 6,037.39
  4. Step 4: Simplify right side
    8,276.30x = 68,916,142.74
  5. Step 5: Solve for x
    x = 68,916,142.74/8,276.30
  6. Step 6: Final answer
    x = 8,326.93

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Why These Related Problems?

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