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Finding the Fourth Proportional to 11,840.72, 16,342.29 and 7,060.95

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Solution

The fourth proportional to 11,840.72, 16,342.29 and 7,060.95 is: 9,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.72 : 16,342.29 = 7,060.95 : x
  2. Step 2: Convert to fraction form
    11,840.72/16,342.29 = 7,060.95/x
  3. Step 3: Cross multiply
    11,840.72x = 16,342.29 × 7,060.95
  4. Step 4: Simplify right side
    11,840.72x = 115,392,092.58
  5. Step 5: Solve for x
    x = 115,392,092.58/11,840.72
  6. Step 6: Final answer
    x = 9,745.37

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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.