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Finding the Fourth Proportional to 8,529, 11,770.50 and 4,803.24

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Solution

The fourth proportional to 8,529, 11,770.50 and 4,803.24 is: 6,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529 : 11,770.50 = 4,803.24 : x
  2. Step 2: Convert to fraction form
    8,529/11,770.50 = 4,803.24/x
  3. Step 3: Cross multiply
    8,529x = 11,770.50 × 4,803.24
  4. Step 4: Simplify right side
    8,529x = 56,536,536.42
  5. Step 5: Solve for x
    x = 56,536,536.42/8,529
  6. Step 6: Final answer
    x = 6,628.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.