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Finding the Fourth Proportional to 8,152.94, 12,229.20 and 2,606.19

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Solution

The fourth proportional to 8,152.94, 12,229.20 and 2,606.19 is: 3,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.94 : 12,229.20 = 2,606.19 : x
  2. Step 2: Convert to fraction form
    8,152.94/12,229.20 = 2,606.19/x
  3. Step 3: Cross multiply
    8,152.94x = 12,229.20 × 2,606.19
  4. Step 4: Simplify right side
    8,152.94x = 31,871,618.75
  5. Step 5: Solve for x
    x = 31,871,618.75/8,152.94
  6. Step 6: Final answer
    x = 3,909.22

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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.