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Finding the Fourth Proportional to 8,098.56, 11,170.08 and 5,114.88

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Solution

The fourth proportional to 8,098.56, 11,170.08 and 5,114.88 is: 7,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 11,170.08 = 5,114.88 : x
  2. Step 2: Convert to fraction form
    8,098.56/11,170.08 = 5,114.88/x
  3. Step 3: Cross multiply
    8,098.56x = 11,170.08 × 5,114.88
  4. Step 4: Simplify right side
    8,098.56x = 57,133,618.79
  5. Step 5: Solve for x
    x = 57,133,618.79/8,098.56
  6. Step 6: Final answer
    x = 7,054.79

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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.