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Finding the Fourth Proportional to 8,353.74, 12,529.05 and 4,192.63

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Solution

The fourth proportional to 8,353.74, 12,529.05 and 4,192.63 is: 6,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.74 : 12,529.05 = 4,192.63 : x
  2. Step 2: Convert to fraction form
    8,353.74/12,529.05 = 4,192.63/x
  3. Step 3: Cross multiply
    8,353.74x = 12,529.05 × 4,192.63
  4. Step 4: Simplify right side
    8,353.74x = 52,529,623.86
  5. Step 5: Solve for x
    x = 52,529,623.86/8,353.74
  6. Step 6: Final answer
    x = 6,288.15

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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.