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Finding the Fourth Proportional to 10,504.69, 15,760.17 and 4,263.50

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Solution

The fourth proportional to 10,504.69, 15,760.17 and 4,263.50 is: 6,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.69 : 15,760.17 = 4,263.50 : x
  2. Step 2: Convert to fraction form
    10,504.69/15,760.17 = 4,263.50/x
  3. Step 3: Cross multiply
    10,504.69x = 15,760.17 × 4,263.50
  4. Step 4: Simplify right side
    10,504.69x = 67,193,524.20
  5. Step 5: Solve for x
    x = 67,193,524.20/10,504.69
  6. Step 6: Final answer
    x = 6,396.53

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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.