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Finding the Fourth Proportional to 11,429.58, 15,772.70 and 6,393.80

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Solution

The fourth proportional to 11,429.58, 15,772.70 and 6,393.80 is: 8,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.58 : 15,772.70 = 6,393.80 : x
  2. Step 2: Convert to fraction form
    11,429.58/15,772.70 = 6,393.80/x
  3. Step 3: Cross multiply
    11,429.58x = 15,772.70 × 6,393.80
  4. Step 4: Simplify right side
    11,429.58x = 100,847,489.26
  5. Step 5: Solve for x
    x = 100,847,489.26/11,429.58
  6. Step 6: Final answer
    x = 8,823.38

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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.