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Finding the Fourth Proportional to 8,152.94, 12,225.66 and 2,605.05

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Solution

The fourth proportional to 8,152.94, 12,225.66 and 2,605.05 is: 3,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.94 : 12,225.66 = 2,605.05 : x
  2. Step 2: Convert to fraction form
    8,152.94/12,225.66 = 2,605.05/x
  3. Step 3: Cross multiply
    8,152.94x = 12,225.66 × 2,605.05
  4. Step 4: Simplify right side
    8,152.94x = 31,848,455.58
  5. Step 5: Solve for x
    x = 31,848,455.58/8,152.94
  6. Step 6: Final answer
    x = 3,906.38

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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.