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Finding the Fourth Proportional to 8,148.87, 12,223.44 and 2,305.80

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Solution

The fourth proportional to 8,148.87, 12,223.44 and 2,305.80 is: 3,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.87 : 12,223.44 = 2,305.80 : x
  2. Step 2: Convert to fraction form
    8,148.87/12,223.44 = 2,305.80/x
  3. Step 3: Cross multiply
    8,148.87x = 12,223.44 × 2,305.80
  4. Step 4: Simplify right side
    8,148.87x = 28,184,807.95
  5. Step 5: Solve for x
    x = 28,184,807.95/8,148.87
  6. Step 6: Final answer
    x = 3,458.74

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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.