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Finding the Fourth Proportional to 8,108.95, 12,164.43 and 2,561.47

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Solution

The fourth proportional to 8,108.95, 12,164.43 and 2,561.47 is: 3,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.95 : 12,164.43 = 2,561.47 : x
  2. Step 2: Convert to fraction form
    8,108.95/12,164.43 = 2,561.47/x
  3. Step 3: Cross multiply
    8,108.95x = 12,164.43 × 2,561.47
  4. Step 4: Simplify right side
    8,108.95x = 31,158,822.51
  5. Step 5: Solve for x
    x = 31,158,822.51/8,108.95
  6. Step 6: Final answer
    x = 3,842.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.