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Finding the Fourth Proportional to 8,210.92, 12,313.10 and 3,013.96

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Solution

The fourth proportional to 8,210.92, 12,313.10 and 3,013.96 is: 4,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.92 : 12,313.10 = 3,013.96 : x
  2. Step 2: Convert to fraction form
    8,210.92/12,313.10 = 3,013.96/x
  3. Step 3: Cross multiply
    8,210.92x = 12,313.10 × 3,013.96
  4. Step 4: Simplify right side
    8,210.92x = 37,111,190.88
  5. Step 5: Solve for x
    x = 37,111,190.88/8,210.92
  6. Step 6: Final answer
    x = 4,519.74

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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.