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Finding the Fourth Proportional to 8,099.30, 11,179.82 and 4,743.19

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Solution

The fourth proportional to 8,099.30, 11,179.82 and 4,743.19 is: 6,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.30 : 11,179.82 = 4,743.19 : x
  2. Step 2: Convert to fraction form
    8,099.30/11,179.82 = 4,743.19/x
  3. Step 3: Cross multiply
    8,099.30x = 11,179.82 × 4,743.19
  4. Step 4: Simplify right side
    8,099.30x = 53,027,994.33
  5. Step 5: Solve for x
    x = 53,027,994.33/8,099.30
  6. Step 6: Final answer
    x = 6,547.24

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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.