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Finding the Fourth Proportional to 8,628.18, 12,942.54 and 5,163

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Solution

The fourth proportional to 8,628.18, 12,942.54 and 5,163 is: 7,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.18 : 12,942.54 = 5,163 : x
  2. Step 2: Convert to fraction form
    8,628.18/12,942.54 = 5,163/x
  3. Step 3: Cross multiply
    8,628.18x = 12,942.54 × 5,163
  4. Step 4: Simplify right side
    8,628.18x = 66,822,334.02
  5. Step 5: Solve for x
    x = 66,822,334.02/8,628.18
  6. Step 6: Final answer
    x = 7,744.66

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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.