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Finding the Fourth Proportional to 8,099.78, 11,177.76 and 4,744.58

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Solution

The fourth proportional to 8,099.78, 11,177.76 and 4,744.58 is: 6,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.78 : 11,177.76 = 4,744.58 : x
  2. Step 2: Convert to fraction form
    8,099.78/11,177.76 = 4,744.58/x
  3. Step 3: Cross multiply
    8,099.78x = 11,177.76 × 4,744.58
  4. Step 4: Simplify right side
    8,099.78x = 53,033,776.54
  5. Step 5: Solve for x
    x = 53,033,776.54/8,099.78
  6. Step 6: Final answer
    x = 6,547.56

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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.