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Finding the Fourth Proportional to 8,733, 13,099.50 and 2,159.31

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Solution

The fourth proportional to 8,733, 13,099.50 and 2,159.31 is: 3,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733 : 13,099.50 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    8,733/13,099.50 = 2,159.31/x
  3. Step 3: Cross multiply
    8,733x = 13,099.50 × 2,159.31
  4. Step 4: Simplify right side
    8,733x = 28,285,870.55
  5. Step 5: Solve for x
    x = 28,285,870.55/8,733
  6. Step 6: Final answer
    x = 3,238.96

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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.