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Finding the Fourth Proportional to 8,561.96, 12,839.70 and 3,365

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Solution

The fourth proportional to 8,561.96, 12,839.70 and 3,365 is: 5,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.96 : 12,839.70 = 3,365 : x
  2. Step 2: Convert to fraction form
    8,561.96/12,839.70 = 3,365/x
  3. Step 3: Cross multiply
    8,561.96x = 12,839.70 × 3,365
  4. Step 4: Simplify right side
    8,561.96x = 43,205,590.50
  5. Step 5: Solve for x
    x = 43,205,590.50/8,561.96
  6. Step 6: Final answer
    x = 5,046.23

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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.