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Finding the Fourth Proportional to 8,287.20, 12,428.86 and 5,316.66

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Solution

The fourth proportional to 8,287.20, 12,428.86 and 5,316.66 is: 7,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.20 : 12,428.86 = 5,316.66 : x
  2. Step 2: Convert to fraction form
    8,287.20/12,428.86 = 5,316.66/x
  3. Step 3: Cross multiply
    8,287.20x = 12,428.86 × 5,316.66
  4. Step 4: Simplify right side
    8,287.20x = 66,080,022.81
  5. Step 5: Solve for x
    x = 66,080,022.81/8,287.20
  6. Step 6: Final answer
    x = 7,973.75

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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.