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Finding the Fourth Proportional to 12,289.26, 18,410.76 and 7,276.80

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Solution

The fourth proportional to 12,289.26, 18,410.76 and 7,276.80 is: 10,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.26 : 18,410.76 = 7,276.80 : x
  2. Step 2: Convert to fraction form
    12,289.26/18,410.76 = 7,276.80/x
  3. Step 3: Cross multiply
    12,289.26x = 18,410.76 × 7,276.80
  4. Step 4: Simplify right side
    12,289.26x = 133,971,418.37
  5. Step 5: Solve for x
    x = 133,971,418.37/12,289.26
  6. Step 6: Final answer
    x = 10,901.50

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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.