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Finding the Fourth Proportional to 8,130.78, 11,227.95 and 6,537.69

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Solution

The fourth proportional to 8,130.78, 11,227.95 and 6,537.69 is: 9,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.78 : 11,227.95 = 6,537.69 : x
  2. Step 2: Convert to fraction form
    8,130.78/11,227.95 = 6,537.69/x
  3. Step 3: Cross multiply
    8,130.78x = 11,227.95 × 6,537.69
  4. Step 4: Simplify right side
    8,130.78x = 73,404,856.44
  5. Step 5: Solve for x
    x = 73,404,856.44/8,130.78
  6. Step 6: Final answer
    x = 9,028.02

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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.