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Finding the Fourth Proportional to 8,219.88, 11,343.06 and 4,682.52

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Solution

The fourth proportional to 8,219.88, 11,343.06 and 4,682.52 is: 6,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.88 : 11,343.06 = 4,682.52 : x
  2. Step 2: Convert to fraction form
    8,219.88/11,343.06 = 4,682.52/x
  3. Step 3: Cross multiply
    8,219.88x = 11,343.06 × 4,682.52
  4. Step 4: Simplify right side
    8,219.88x = 53,114,105.31
  5. Step 5: Solve for x
    x = 53,114,105.31/8,219.88
  6. Step 6: Final answer
    x = 6,461.66

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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.