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Finding the Fourth Proportional to 8,515.86, 12,774.06 and 2,969.79

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Solution

The fourth proportional to 8,515.86, 12,774.06 and 2,969.79 is: 4,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.86 : 12,774.06 = 2,969.79 : x
  2. Step 2: Convert to fraction form
    8,515.86/12,774.06 = 2,969.79/x
  3. Step 3: Cross multiply
    8,515.86x = 12,774.06 × 2,969.79
  4. Step 4: Simplify right side
    8,515.86x = 37,936,275.65
  5. Step 5: Solve for x
    x = 37,936,275.65/8,515.86
  6. Step 6: Final answer
    x = 4,454.78

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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.