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Finding the Fourth Proportional to 8,439.84, 11,644.29 and 5,456.61

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Solution

The fourth proportional to 8,439.84, 11,644.29 and 5,456.61 is: 7,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.84 : 11,644.29 = 5,456.61 : x
  2. Step 2: Convert to fraction form
    8,439.84/11,644.29 = 5,456.61/x
  3. Step 3: Cross multiply
    8,439.84x = 11,644.29 × 5,456.61
  4. Step 4: Simplify right side
    8,439.84x = 63,538,349.26
  5. Step 5: Solve for x
    x = 63,538,349.26/8,439.84
  6. Step 6: Final answer
    x = 7,528.38

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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.