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Finding the Fourth Proportional to 8,333.82, 12,497.70 and 2,488.46

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Solution

The fourth proportional to 8,333.82, 12,497.70 and 2,488.46 is: 3,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.82 : 12,497.70 = 2,488.46 : x
  2. Step 2: Convert to fraction form
    8,333.82/12,497.70 = 2,488.46/x
  3. Step 3: Cross multiply
    8,333.82x = 12,497.70 × 2,488.46
  4. Step 4: Simplify right side
    8,333.82x = 31,100,026.54
  5. Step 5: Solve for x
    x = 31,100,026.54/8,333.82
  6. Step 6: Final answer
    x = 3,731.79

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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.