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Finding the Fourth Proportional to 8,537.14, 12,789.14 and 5,606.56

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Solution

The fourth proportional to 8,537.14, 12,789.14 and 5,606.56 is: 8,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.14 : 12,789.14 = 5,606.56 : x
  2. Step 2: Convert to fraction form
    8,537.14/12,789.14 = 5,606.56/x
  3. Step 3: Cross multiply
    8,537.14x = 12,789.14 × 5,606.56
  4. Step 4: Simplify right side
    8,537.14x = 71,703,080.76
  5. Step 5: Solve for x
    x = 71,703,080.76/8,537.14
  6. Step 6: Final answer
    x = 8,398.96

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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.