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Finding the Fourth Proportional to 8,179.68, 11,288.16 and 5,035.68

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Solution

The fourth proportional to 8,179.68, 11,288.16 and 5,035.68 is: 6,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.68 : 11,288.16 = 5,035.68 : x
  2. Step 2: Convert to fraction form
    8,179.68/11,288.16 = 5,035.68/x
  3. Step 3: Cross multiply
    8,179.68x = 11,288.16 × 5,035.68
  4. Step 4: Simplify right side
    8,179.68x = 56,843,561.55
  5. Step 5: Solve for x
    x = 56,843,561.55/8,179.68
  6. Step 6: Final answer
    x = 6,949.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.