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Finding the Fourth Proportional to 8,374.60, 12,576.30 and 8,115.40

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Solution

The fourth proportional to 8,374.60, 12,576.30 and 8,115.40 is: 12,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.60 : 12,576.30 = 8,115.40 : x
  2. Step 2: Convert to fraction form
    8,374.60/12,576.30 = 8,115.40/x
  3. Step 3: Cross multiply
    8,374.60x = 12,576.30 × 8,115.40
  4. Step 4: Simplify right side
    8,374.60x = 102,061,705.02
  5. Step 5: Solve for x
    x = 102,061,705.02/8,374.60
  6. Step 6: Final answer
    x = 12,187.05

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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.