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Finding the Fourth Proportional to 7,963.15, 11,000.38 and 6,380.31

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Solution

The fourth proportional to 7,963.15, 11,000.38 and 6,380.31 is: 8,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.15 : 11,000.38 = 6,380.31 : x
  2. Step 2: Convert to fraction form
    7,963.15/11,000.38 = 6,380.31/x
  3. Step 3: Cross multiply
    7,963.15x = 11,000.38 × 6,380.31
  4. Step 4: Simplify right side
    7,963.15x = 70,185,779.52
  5. Step 5: Solve for x
    x = 70,185,779.52/7,963.15
  6. Step 6: Final answer
    x = 8,813.83

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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.