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Finding the Fourth Proportional to 8,247.86, 12,371.94 and 4,549.40

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Solution

The fourth proportional to 8,247.86, 12,371.94 and 4,549.40 is: 6,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.86 : 12,371.94 = 4,549.40 : x
  2. Step 2: Convert to fraction form
    8,247.86/12,371.94 = 4,549.40/x
  3. Step 3: Cross multiply
    8,247.86x = 12,371.94 × 4,549.40
  4. Step 4: Simplify right side
    8,247.86x = 56,284,903.84
  5. Step 5: Solve for x
    x = 56,284,903.84/8,247.86
  6. Step 6: Final answer
    x = 6,824.18

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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.