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Finding the Fourth Proportional to 8,536.61, 12,850.22 and 6,088.37

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Solution

The fourth proportional to 8,536.61, 12,850.22 and 6,088.37 is: 9,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.61 : 12,850.22 = 6,088.37 : x
  2. Step 2: Convert to fraction form
    8,536.61/12,850.22 = 6,088.37/x
  3. Step 3: Cross multiply
    8,536.61x = 12,850.22 × 6,088.37
  4. Step 4: Simplify right side
    8,536.61x = 78,236,893.94
  5. Step 5: Solve for x
    x = 78,236,893.94/8,536.61
  6. Step 6: Final answer
    x = 9,164.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.