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Finding the Fourth Proportional to 8,564.52, 12,837.84 and 4,175.94

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Solution

The fourth proportional to 8,564.52, 12,837.84 and 4,175.94 is: 6,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.52 : 12,837.84 = 4,175.94 : x
  2. Step 2: Convert to fraction form
    8,564.52/12,837.84 = 4,175.94/x
  3. Step 3: Cross multiply
    8,564.52x = 12,837.84 × 4,175.94
  4. Step 4: Simplify right side
    8,564.52x = 53,610,049.57
  5. Step 5: Solve for x
    x = 53,610,049.57/8,564.52
  6. Step 6: Final answer
    x = 6,259.55

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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.