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Finding the Fourth Proportional to 8,071.58, 12,107.46 and 2,524.70

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Solution

The fourth proportional to 8,071.58, 12,107.46 and 2,524.70 is: 3,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.58 : 12,107.46 = 2,524.70 : x
  2. Step 2: Convert to fraction form
    8,071.58/12,107.46 = 2,524.70/x
  3. Step 3: Cross multiply
    8,071.58x = 12,107.46 × 2,524.70
  4. Step 4: Simplify right side
    8,071.58x = 30,567,704.26
  5. Step 5: Solve for x
    x = 30,567,704.26/8,071.58
  6. Step 6: Final answer
    x = 3,787.08

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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.