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Finding the Fourth Proportional to 8,000.82, 11,056.32 and 6,007.95

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Solution

The fourth proportional to 8,000.82, 11,056.32 and 6,007.95 is: 8,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.82 : 11,056.32 = 6,007.95 : x
  2. Step 2: Convert to fraction form
    8,000.82/11,056.32 = 6,007.95/x
  3. Step 3: Cross multiply
    8,000.82x = 11,056.32 × 6,007.95
  4. Step 4: Simplify right side
    8,000.82x = 66,425,817.74
  5. Step 5: Solve for x
    x = 66,425,817.74/8,000.82
  6. Step 6: Final answer
    x = 8,302.38

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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.