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Finding the Fourth Proportional to 8,034.78, 12,025.17 and 7,728.06

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Solution

The fourth proportional to 8,034.78, 12,025.17 and 7,728.06 is: 11,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.78 : 12,025.17 = 7,728.06 : x
  2. Step 2: Convert to fraction form
    8,034.78/12,025.17 = 7,728.06/x
  3. Step 3: Cross multiply
    8,034.78x = 12,025.17 × 7,728.06
  4. Step 4: Simplify right side
    8,034.78x = 92,931,235.27
  5. Step 5: Solve for x
    x = 92,931,235.27/8,034.78
  6. Step 6: Final answer
    x = 11,566.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.