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Finding the Fourth Proportional to 8,515.10, 12,773.86 and 2,967.64

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Solution

The fourth proportional to 8,515.10, 12,773.86 and 2,967.64 is: 4,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.10 : 12,773.86 = 2,967.64 : x
  2. Step 2: Convert to fraction form
    8,515.10/12,773.86 = 2,967.64/x
  3. Step 3: Cross multiply
    8,515.10x = 12,773.86 × 2,967.64
  4. Step 4: Simplify right side
    8,515.10x = 37,908,178.54
  5. Step 5: Solve for x
    x = 37,908,178.54/8,515.10
  6. Step 6: Final answer
    x = 4,451.88

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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.