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Finding the Fourth Proportional to 8,438.24, 11,644.80 and 4,712.24

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Solution

The fourth proportional to 8,438.24, 11,644.80 and 4,712.24 is: 6,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.24 : 11,644.80 = 4,712.24 : x
  2. Step 2: Convert to fraction form
    8,438.24/11,644.80 = 4,712.24/x
  3. Step 3: Cross multiply
    8,438.24x = 11,644.80 × 4,712.24
  4. Step 4: Simplify right side
    8,438.24x = 54,873,092.35
  5. Step 5: Solve for x
    x = 54,873,092.35/8,438.24
  6. Step 6: Final answer
    x = 6,502.91

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