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Finding the Fourth Proportional to 8,127.68, 11,216.73 and 4,542.66

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Solution

The fourth proportional to 8,127.68, 11,216.73 and 4,542.66 is: 6,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.68 : 11,216.73 = 4,542.66 : x
  2. Step 2: Convert to fraction form
    8,127.68/11,216.73 = 4,542.66/x
  3. Step 3: Cross multiply
    8,127.68x = 11,216.73 × 4,542.66
  4. Step 4: Simplify right side
    8,127.68x = 50,953,790.70
  5. Step 5: Solve for x
    x = 50,953,790.70/8,127.68
  6. Step 6: Final answer
    x = 6,269.17

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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.