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Finding the Fourth Proportional to 8,032.46, 12,049.38 and 2,768.46

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Solution

The fourth proportional to 8,032.46, 12,049.38 and 2,768.46 is: 4,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.46 : 12,049.38 = 2,768.46 : x
  2. Step 2: Convert to fraction form
    8,032.46/12,049.38 = 2,768.46/x
  3. Step 3: Cross multiply
    8,032.46x = 12,049.38 × 2,768.46
  4. Step 4: Simplify right side
    8,032.46x = 33,358,226.55
  5. Step 5: Solve for x
    x = 33,358,226.55/8,032.46
  6. Step 6: Final answer
    x = 4,152.93

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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.