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Finding the Fourth Proportional to 8,105.47, 12,158.64 and 2,559.23

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Solution

The fourth proportional to 8,105.47, 12,158.64 and 2,559.23 is: 3,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.47 : 12,158.64 = 2,559.23 : x
  2. Step 2: Convert to fraction form
    8,105.47/12,158.64 = 2,559.23/x
  3. Step 3: Cross multiply
    8,105.47x = 12,158.64 × 2,559.23
  4. Step 4: Simplify right side
    8,105.47x = 31,116,741.05
  5. Step 5: Solve for x
    x = 31,116,741.05/8,105.47
  6. Step 6: Final answer
    x = 3,838.98

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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.