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Finding the Fourth Proportional to 8,515.50, 12,773.26 and 2,359.50

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Solution

The fourth proportional to 8,515.50, 12,773.26 and 2,359.50 is: 3,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.50 : 12,773.26 = 2,359.50 : x
  2. Step 2: Convert to fraction form
    8,515.50/12,773.26 = 2,359.50/x
  3. Step 3: Cross multiply
    8,515.50x = 12,773.26 × 2,359.50
  4. Step 4: Simplify right side
    8,515.50x = 30,138,506.97
  5. Step 5: Solve for x
    x = 30,138,506.97/8,515.50
  6. Step 6: Final answer
    x = 3,539.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.