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Finding the Fourth Proportional to 8,356.73, 12,536.13 and 2,810.66

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Solution

The fourth proportional to 8,356.73, 12,536.13 and 2,810.66 is: 4,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.73 : 12,536.13 = 2,810.66 : x
  2. Step 2: Convert to fraction form
    8,356.73/12,536.13 = 2,810.66/x
  3. Step 3: Cross multiply
    8,356.73x = 12,536.13 × 2,810.66
  4. Step 4: Simplify right side
    8,356.73x = 35,234,799.15
  5. Step 5: Solve for x
    x = 35,234,799.15/8,356.73
  6. Step 6: Final answer
    x = 4,216.34

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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.