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Finding the Fourth Proportional to 8,257.12, 12,385.80 and 3,063

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Solution

The fourth proportional to 8,257.12, 12,385.80 and 3,063 is: 4,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.12 : 12,385.80 = 3,063 : x
  2. Step 2: Convert to fraction form
    8,257.12/12,385.80 = 3,063/x
  3. Step 3: Cross multiply
    8,257.12x = 12,385.80 × 3,063
  4. Step 4: Simplify right side
    8,257.12x = 37,937,705.40
  5. Step 5: Solve for x
    x = 37,937,705.40/8,257.12
  6. Step 6: Final answer
    x = 4,594.54

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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.