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Finding the Fourth Proportional to 11,715.22, 16,161.42 and 7,237.36

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Solution

The fourth proportional to 11,715.22, 16,161.42 and 7,237.36 is: 9,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.22 : 16,161.42 = 7,237.36 : x
  2. Step 2: Convert to fraction form
    11,715.22/16,161.42 = 7,237.36/x
  3. Step 3: Cross multiply
    11,715.22x = 16,161.42 × 7,237.36
  4. Step 4: Simplify right side
    11,715.22x = 116,966,014.65
  5. Step 5: Solve for x
    x = 116,966,014.65/11,715.22
  6. Step 6: Final answer
    x = 9,984.11

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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.