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Finding the Fourth Proportional to 8,099.91, 11,177.82 and 4,564.26

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Solution

The fourth proportional to 8,099.91, 11,177.82 and 4,564.26 is: 6,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.91 : 11,177.82 = 4,564.26 : x
  2. Step 2: Convert to fraction form
    8,099.91/11,177.82 = 4,564.26/x
  3. Step 3: Cross multiply
    8,099.91x = 11,177.82 × 4,564.26
  4. Step 4: Simplify right side
    8,099.91x = 51,018,460.18
  5. Step 5: Solve for x
    x = 51,018,460.18/8,099.91
  6. Step 6: Final answer
    x = 6,298.65

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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.