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Finding the Fourth Proportional to 11,840.58, 16,341.09 and 8,260.73

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Solution

The fourth proportional to 11,840.58, 16,341.09 and 8,260.73 is: 11,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.58 : 16,341.09 = 8,260.73 : x
  2. Step 2: Convert to fraction form
    11,840.58/16,341.09 = 8,260.73/x
  3. Step 3: Cross multiply
    11,840.58x = 16,341.09 × 8,260.73
  4. Step 4: Simplify right side
    11,840.58x = 134,989,419.38
  5. Step 5: Solve for x
    x = 134,989,419.38/11,840.58
  6. Step 6: Final answer
    x = 11,400.57

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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.