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Finding the Fourth Proportional to 10,998.17, 15,174.84 and 6,218.21

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Solution

The fourth proportional to 10,998.17, 15,174.84 and 6,218.21 is: 8,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.17 : 15,174.84 = 6,218.21 : x
  2. Step 2: Convert to fraction form
    10,998.17/15,174.84 = 6,218.21/x
  3. Step 3: Cross multiply
    10,998.17x = 15,174.84 × 6,218.21
  4. Step 4: Simplify right side
    10,998.17x = 94,360,265.96
  5. Step 5: Solve for x
    x = 94,360,265.96/10,998.17
  6. Step 6: Final answer
    x = 8,579.64

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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.