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Finding the Fourth Proportional to 11,858.52, 16,365.10 and 7,081.26

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Solution

The fourth proportional to 11,858.52, 16,365.10 and 7,081.26 is: 9,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.52 : 16,365.10 = 7,081.26 : x
  2. Step 2: Convert to fraction form
    11,858.52/16,365.10 = 7,081.26/x
  3. Step 3: Cross multiply
    11,858.52x = 16,365.10 × 7,081.26
  4. Step 4: Simplify right side
    11,858.52x = 115,885,528.03
  5. Step 5: Solve for x
    x = 115,885,528.03/11,858.52
  6. Step 6: Final answer
    x = 9,772.34

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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.