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Finding the Fourth Proportional to 11,847.65, 16,349.10 and 7,371.26

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Solution

The fourth proportional to 11,847.65, 16,349.10 and 7,371.26 is: 10,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.65 : 16,349.10 = 7,371.26 : x
  2. Step 2: Convert to fraction form
    11,847.65/16,349.10 = 7,371.26/x
  3. Step 3: Cross multiply
    11,847.65x = 16,349.10 × 7,371.26
  4. Step 4: Simplify right side
    11,847.65x = 120,513,466.87
  5. Step 5: Solve for x
    x = 120,513,466.87/11,847.65
  6. Step 6: Final answer
    x = 10,171.93

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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.