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Finding the Fourth Proportional to 8,210.82, 12,316.02 and 2,287.68

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Solution

The fourth proportional to 8,210.82, 12,316.02 and 2,287.68 is: 3,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.82 : 12,316.02 = 2,287.68 : x
  2. Step 2: Convert to fraction form
    8,210.82/12,316.02 = 2,287.68/x
  3. Step 3: Cross multiply
    8,210.82x = 12,316.02 × 2,287.68
  4. Step 4: Simplify right side
    8,210.82x = 28,175,112.63
  5. Step 5: Solve for x
    x = 28,175,112.63/8,210.82
  6. Step 6: Final answer
    x = 3,431.46

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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.