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Finding the Fourth Proportional to 8,034.12, 11,996.50 and 7,089.19

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Solution

The fourth proportional to 8,034.12, 11,996.50 and 7,089.19 is: 10,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.12 : 11,996.50 = 7,089.19 : x
  2. Step 2: Convert to fraction form
    8,034.12/11,996.50 = 7,089.19/x
  3. Step 3: Cross multiply
    8,034.12x = 11,996.50 × 7,089.19
  4. Step 4: Simplify right side
    8,034.12x = 85,045,420.12
  5. Step 5: Solve for x
    x = 85,045,420.12/8,034.12
  6. Step 6: Final answer
    x = 10,585.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.