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Finding the Fourth Proportional to 8,539.24, 12,807.42 and 2,695

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Solution

The fourth proportional to 8,539.24, 12,807.42 and 2,695 is: 4,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.24 : 12,807.42 = 2,695 : x
  2. Step 2: Convert to fraction form
    8,539.24/12,807.42 = 2,695/x
  3. Step 3: Cross multiply
    8,539.24x = 12,807.42 × 2,695
  4. Step 4: Simplify right side
    8,539.24x = 34,515,996.90
  5. Step 5: Solve for x
    x = 34,515,996.90/8,539.24
  6. Step 6: Final answer
    x = 4,042.05

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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.