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Finding the Fourth Proportional to 11,835.73, 16,335.24 and 7,056.28

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Solution

The fourth proportional to 11,835.73, 16,335.24 and 7,056.28 is: 9,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.73 : 16,335.24 = 7,056.28 : x
  2. Step 2: Convert to fraction form
    11,835.73/16,335.24 = 7,056.28/x
  3. Step 3: Cross multiply
    11,835.73x = 16,335.24 × 7,056.28
  4. Step 4: Simplify right side
    11,835.73x = 115,266,027.31
  5. Step 5: Solve for x
    x = 115,266,027.31/11,835.73
  6. Step 6: Final answer
    x = 9,738.82

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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.