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Finding the Fourth Proportional to 8,232.60, 12,348.91 and 3,853.14

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Solution

The fourth proportional to 8,232.60, 12,348.91 and 3,853.14 is: 5,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.60 : 12,348.91 = 3,853.14 : x
  2. Step 2: Convert to fraction form
    8,232.60/12,348.91 = 3,853.14/x
  3. Step 3: Cross multiply
    8,232.60x = 12,348.91 × 3,853.14
  4. Step 4: Simplify right side
    8,232.60x = 47,582,015.91
  5. Step 5: Solve for x
    x = 47,582,015.91/8,232.60
  6. Step 6: Final answer
    x = 5,779.70

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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.