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Finding the Fourth Proportional to 11,722.62, 16,177.42 and 7,246.26

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Solution

The fourth proportional to 11,722.62, 16,177.42 and 7,246.26 is: 9,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.62 : 16,177.42 = 7,246.26 : x
  2. Step 2: Convert to fraction form
    11,722.62/16,177.42 = 7,246.26/x
  3. Step 3: Cross multiply
    11,722.62x = 16,177.42 × 7,246.26
  4. Step 4: Simplify right side
    11,722.62x = 117,225,800.51
  5. Step 5: Solve for x
    x = 117,225,800.51/11,722.62
  6. Step 6: Final answer
    x = 9,999.96

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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.