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Finding the Fourth Proportional to 8,507.73, 12,753.28 and 3,828.92

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Solution

The fourth proportional to 8,507.73, 12,753.28 and 3,828.92 is: 5,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.73 : 12,753.28 = 3,828.92 : x
  2. Step 2: Convert to fraction form
    8,507.73/12,753.28 = 3,828.92/x
  3. Step 3: Cross multiply
    8,507.73x = 12,753.28 × 3,828.92
  4. Step 4: Simplify right side
    8,507.73x = 48,831,269.71
  5. Step 5: Solve for x
    x = 48,831,269.71/8,507.73
  6. Step 6: Final answer
    x = 5,739.64

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Why These Related Problems?

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