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Finding the Fourth Proportional to 8,561.71, 12,845.31 and 3,635.50

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Solution

The fourth proportional to 8,561.71, 12,845.31 and 3,635.50 is: 5,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.71 : 12,845.31 = 3,635.50 : x
  2. Step 2: Convert to fraction form
    8,561.71/12,845.31 = 3,635.50/x
  3. Step 3: Cross multiply
    8,561.71x = 12,845.31 × 3,635.50
  4. Step 4: Simplify right side
    8,561.71x = 46,699,060.28
  5. Step 5: Solve for x
    x = 46,699,060.28/8,561.71
  6. Step 6: Final answer
    x = 5,454.41

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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.