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Finding the Fourth Proportional to 8,365.86, 12,546.75 and 2,817.76

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Solution

The fourth proportional to 8,365.86, 12,546.75 and 2,817.76 is: 4,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.86 : 12,546.75 = 2,817.76 : x
  2. Step 2: Convert to fraction form
    8,365.86/12,546.75 = 2,817.76/x
  3. Step 3: Cross multiply
    8,365.86x = 12,546.75 × 2,817.76
  4. Step 4: Simplify right side
    8,365.86x = 35,353,730.28
  5. Step 5: Solve for x
    x = 35,353,730.28/8,365.86
  6. Step 6: Final answer
    x = 4,225.95

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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.