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Finding the Fourth Proportional to 8,382.98, 12,579.08 and 5,098.38

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Solution

The fourth proportional to 8,382.98, 12,579.08 and 5,098.38 is: 7,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.98 : 12,579.08 = 5,098.38 : x
  2. Step 2: Convert to fraction form
    8,382.98/12,579.08 = 5,098.38/x
  3. Step 3: Cross multiply
    8,382.98x = 12,579.08 × 5,098.38
  4. Step 4: Simplify right side
    8,382.98x = 64,132,904.40
  5. Step 5: Solve for x
    x = 64,132,904.40/8,382.98
  6. Step 6: Final answer
    x = 7,650.37

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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.