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Finding the Fourth Proportional to 8,135.84, 12,203.55 and 2,589.53

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Solution

The fourth proportional to 8,135.84, 12,203.55 and 2,589.53 is: 3,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.84 : 12,203.55 = 2,589.53 : x
  2. Step 2: Convert to fraction form
    8,135.84/12,203.55 = 2,589.53/x
  3. Step 3: Cross multiply
    8,135.84x = 12,203.55 × 2,589.53
  4. Step 4: Simplify right side
    8,135.84x = 31,601,397.81
  5. Step 5: Solve for x
    x = 31,601,397.81/8,135.84
  6. Step 6: Final answer
    x = 3,884.22

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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.