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Finding the Fourth Proportional to 8,443.50, 12,665.26 and 2,287.50

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Solution

The fourth proportional to 8,443.50, 12,665.26 and 2,287.50 is: 3,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.50 : 12,665.26 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    8,443.50/12,665.26 = 2,287.50/x
  3. Step 3: Cross multiply
    8,443.50x = 12,665.26 × 2,287.50
  4. Step 4: Simplify right side
    8,443.50x = 28,971,782.25
  5. Step 5: Solve for x
    x = 28,971,782.25/8,443.50
  6. Step 6: Final answer
    x = 3,431.25

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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.