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Finding the Fourth Proportional to 11,782.27, 16,261.91 and 7,001.31

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Solution

The fourth proportional to 11,782.27, 16,261.91 and 7,001.31 is: 9,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.27 : 16,261.91 = 7,001.31 : x
  2. Step 2: Convert to fraction form
    11,782.27/16,261.91 = 7,001.31/x
  3. Step 3: Cross multiply
    11,782.27x = 16,261.91 × 7,001.31
  4. Step 4: Simplify right side
    11,782.27x = 113,854,673.10
  5. Step 5: Solve for x
    x = 113,854,673.10/11,782.27
  6. Step 6: Final answer
    x = 9,663.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.