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Finding the Fourth Proportional to 8,210.97, 12,320.56 and 3,284.15

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Solution

The fourth proportional to 8,210.97, 12,320.56 and 3,284.15 is: 4,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.97 : 12,320.56 = 3,284.15 : x
  2. Step 2: Convert to fraction form
    8,210.97/12,320.56 = 3,284.15/x
  3. Step 3: Cross multiply
    8,210.97x = 12,320.56 × 3,284.15
  4. Step 4: Simplify right side
    8,210.97x = 40,462,491.15
  5. Step 5: Solve for x
    x = 40,462,491.15/8,210.97
  6. Step 6: Final answer
    x = 4,927.86

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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.