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Finding the Fourth Proportional to 8,246.14, 12,371.02 and 4,546.46

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Solution

The fourth proportional to 8,246.14, 12,371.02 and 4,546.46 is: 6,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.14 : 12,371.02 = 4,546.46 : x
  2. Step 2: Convert to fraction form
    8,246.14/12,371.02 = 4,546.46/x
  3. Step 3: Cross multiply
    8,246.14x = 12,371.02 × 4,546.46
  4. Step 4: Simplify right side
    8,246.14x = 56,244,347.59
  5. Step 5: Solve for x
    x = 56,244,347.59/8,246.14
  6. Step 6: Final answer
    x = 6,820.69

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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.