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Finding the Fourth Proportional to 8,536.95, 12,809.30 and 3,854.43

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Solution

The fourth proportional to 8,536.95, 12,809.30 and 3,854.43 is: 5,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.95 : 12,809.30 = 3,854.43 : x
  2. Step 2: Convert to fraction form
    8,536.95/12,809.30 = 3,854.43/x
  3. Step 3: Cross multiply
    8,536.95x = 12,809.30 × 3,854.43
  4. Step 4: Simplify right side
    8,536.95x = 49,372,530.93
  5. Step 5: Solve for x
    x = 49,372,530.93/8,536.95
  6. Step 6: Final answer
    x = 5,783.39

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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.