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Finding the Fourth Proportional to 8,352.63, 12,529.18 and 2,509.22

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Solution

The fourth proportional to 8,352.63, 12,529.18 and 2,509.22 is: 3,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.63 : 12,529.18 = 2,509.22 : x
  2. Step 2: Convert to fraction form
    8,352.63/12,529.18 = 2,509.22/x
  3. Step 3: Cross multiply
    8,352.63x = 12,529.18 × 2,509.22
  4. Step 4: Simplify right side
    8,352.63x = 31,438,469.04
  5. Step 5: Solve for x
    x = 31,438,469.04/8,352.63
  6. Step 6: Final answer
    x = 3,763.90

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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.