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Finding the Fourth Proportional to 11,665.80, 16,099.11 and 7,129.22

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Solution

The fourth proportional to 11,665.80, 16,099.11 and 7,129.22 is: 9,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.80 : 16,099.11 = 7,129.22 : x
  2. Step 2: Convert to fraction form
    11,665.80/16,099.11 = 7,129.22/x
  3. Step 3: Cross multiply
    11,665.80x = 16,099.11 × 7,129.22
  4. Step 4: Simplify right side
    11,665.80x = 114,774,016.50
  5. Step 5: Solve for x
    x = 114,774,016.50/11,665.80
  6. Step 6: Final answer
    x = 9,838.50

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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.