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Finding the Fourth Proportional to 8,594.68, 11,863.02 and 6,232.36

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Solution

The fourth proportional to 8,594.68, 11,863.02 and 6,232.36 is: 8,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.68 : 11,863.02 = 6,232.36 : x
  2. Step 2: Convert to fraction form
    8,594.68/11,863.02 = 6,232.36/x
  3. Step 3: Cross multiply
    8,594.68x = 11,863.02 × 6,232.36
  4. Step 4: Simplify right side
    8,594.68x = 73,934,611.33
  5. Step 5: Solve for x
    x = 73,934,611.33/8,594.68
  6. Step 6: Final answer
    x = 8,602.37

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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.