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Finding the Fourth Proportional to 8,208.77, 12,313.52 and 3,011.81

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Solution

The fourth proportional to 8,208.77, 12,313.52 and 3,011.81 is: 4,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.77 : 12,313.52 = 3,011.81 : x
  2. Step 2: Convert to fraction form
    8,208.77/12,313.52 = 3,011.81/x
  3. Step 3: Cross multiply
    8,208.77x = 12,313.52 × 3,011.81
  4. Step 4: Simplify right side
    8,208.77x = 37,085,967.61
  5. Step 5: Solve for x
    x = 37,085,967.61/8,208.77
  6. Step 6: Final answer
    x = 4,517.85

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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.