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Finding the Fourth Proportional to 8,735.96, 13,104.58 and 2,496.50

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Solution

The fourth proportional to 8,735.96, 13,104.58 and 2,496.50 is: 3,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.96 : 13,104.58 = 2,496.50 : x
  2. Step 2: Convert to fraction form
    8,735.96/13,104.58 = 2,496.50/x
  3. Step 3: Cross multiply
    8,735.96x = 13,104.58 × 2,496.50
  4. Step 4: Simplify right side
    8,735.96x = 32,715,583.97
  5. Step 5: Solve for x
    x = 32,715,583.97/8,735.96
  6. Step 6: Final answer
    x = 3,744.93

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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.