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Finding the Fourth Proportional to 11,722.26, 16,160.04 and 7,243.47

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Solution

The fourth proportional to 11,722.26, 16,160.04 and 7,243.47 is: 9,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.26 : 16,160.04 = 7,243.47 : x
  2. Step 2: Convert to fraction form
    11,722.26/16,160.04 = 7,243.47/x
  3. Step 3: Cross multiply
    11,722.26x = 16,160.04 × 7,243.47
  4. Step 4: Simplify right side
    11,722.26x = 117,054,750.05
  5. Step 5: Solve for x
    x = 117,054,750.05/11,722.26
  6. Step 6: Final answer
    x = 9,985.68

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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.