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Finding the Fourth Proportional to 8,354.80, 12,529.24 and 2,509.52

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Solution

The fourth proportional to 8,354.80, 12,529.24 and 2,509.52 is: 3,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.80 : 12,529.24 = 2,509.52 : x
  2. Step 2: Convert to fraction form
    8,354.80/12,529.24 = 2,509.52/x
  3. Step 3: Cross multiply
    8,354.80x = 12,529.24 × 2,509.52
  4. Step 4: Simplify right side
    8,354.80x = 31,442,378.36
  5. Step 5: Solve for x
    x = 31,442,378.36/8,354.80
  6. Step 6: Final answer
    x = 3,763.39

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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.