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Finding the Fourth Proportional to 8,343.36, 11,512.80 and 4,618.08

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Solution

The fourth proportional to 8,343.36, 11,512.80 and 4,618.08 is: 6,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.36 : 11,512.80 = 4,618.08 : x
  2. Step 2: Convert to fraction form
    8,343.36/11,512.80 = 4,618.08/x
  3. Step 3: Cross multiply
    8,343.36x = 11,512.80 × 4,618.08
  4. Step 4: Simplify right side
    8,343.36x = 53,167,031.42
  5. Step 5: Solve for x
    x = 53,167,031.42/8,343.36
  6. Step 6: Final answer
    x = 6,372.38

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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.