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Finding the Fourth Proportional to 11,901.53, 17,852.20 and 6,644.43

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Solution

The fourth proportional to 11,901.53, 17,852.20 and 6,644.43 is: 9,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.53 : 17,852.20 = 6,644.43 : x
  2. Step 2: Convert to fraction form
    11,901.53/17,852.20 = 6,644.43/x
  3. Step 3: Cross multiply
    11,901.53x = 17,852.20 × 6,644.43
  4. Step 4: Simplify right side
    11,901.53x = 118,617,676.63
  5. Step 5: Solve for x
    x = 118,617,676.63/11,901.53
  6. Step 6: Final answer
    x = 9,966.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.