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Finding the Fourth Proportional to 8,034.75, 12,048.96 and 2,768.76

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Solution

The fourth proportional to 8,034.75, 12,048.96 and 2,768.76 is: 4,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.75 : 12,048.96 = 2,768.76 : x
  2. Step 2: Convert to fraction form
    8,034.75/12,048.96 = 2,768.76/x
  3. Step 3: Cross multiply
    8,034.75x = 12,048.96 × 2,768.76
  4. Step 4: Simplify right side
    8,034.75x = 33,360,678.49
  5. Step 5: Solve for x
    x = 33,360,678.49/8,034.75
  6. Step 6: Final answer
    x = 4,152.05

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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.