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Finding the Fourth Proportional to 8,228.37, 12,313.85 and 6,730.28

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Solution

The fourth proportional to 8,228.37, 12,313.85 and 6,730.28 is: 10,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.37 : 12,313.85 = 6,730.28 : x
  2. Step 2: Convert to fraction form
    8,228.37/12,313.85 = 6,730.28/x
  3. Step 3: Cross multiply
    8,228.37x = 12,313.85 × 6,730.28
  4. Step 4: Simplify right side
    8,228.37x = 82,875,563.16
  5. Step 5: Solve for x
    x = 82,875,563.16/8,228.37
  6. Step 6: Final answer
    x = 10,071.93

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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.