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Finding the Fourth Proportional to 8,098.66, 11,176.50 and 4,562.08

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Solution

The fourth proportional to 8,098.66, 11,176.50 and 4,562.08 is: 6,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.66 : 11,176.50 = 4,562.08 : x
  2. Step 2: Convert to fraction form
    8,098.66/11,176.50 = 4,562.08/x
  3. Step 3: Cross multiply
    8,098.66x = 11,176.50 × 4,562.08
  4. Step 4: Simplify right side
    8,098.66x = 50,988,087.12
  5. Step 5: Solve for x
    x = 50,988,087.12/8,098.66
  6. Step 6: Final answer
    x = 6,295.87

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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.