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Finding the Fourth Proportional to 8,245.27, 12,347.86 and 4,284.07

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Solution

The fourth proportional to 8,245.27, 12,347.86 and 4,284.07 is: 6,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.27 : 12,347.86 = 4,284.07 : x
  2. Step 2: Convert to fraction form
    8,245.27/12,347.86 = 4,284.07/x
  3. Step 3: Cross multiply
    8,245.27x = 12,347.86 × 4,284.07
  4. Step 4: Simplify right side
    8,245.27x = 52,899,096.59
  5. Step 5: Solve for x
    x = 52,899,096.59/8,245.27
  6. Step 6: Final answer
    x = 6,415.69

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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.