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Finding the Fourth Proportional to 8,522.75, 12,775.24 and 5,009.88

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Solution

The fourth proportional to 8,522.75, 12,775.24 and 5,009.88 is: 7,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.75 : 12,775.24 = 5,009.88 : x
  2. Step 2: Convert to fraction form
    8,522.75/12,775.24 = 5,009.88/x
  3. Step 3: Cross multiply
    8,522.75x = 12,775.24 × 5,009.88
  4. Step 4: Simplify right side
    8,522.75x = 64,002,487.63
  5. Step 5: Solve for x
    x = 64,002,487.63/8,522.75
  6. Step 6: Final answer
    x = 7,509.60

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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.