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Finding the Fourth Proportional to 11,782.79, 16,272.93 and 7,317.15

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Solution

The fourth proportional to 11,782.79, 16,272.93 and 7,317.15 is: 10,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.79 : 16,272.93 = 7,317.15 : x
  2. Step 2: Convert to fraction form
    11,782.79/16,272.93 = 7,317.15/x
  3. Step 3: Cross multiply
    11,782.79x = 16,272.93 × 7,317.15
  4. Step 4: Simplify right side
    11,782.79x = 119,071,469.75
  5. Step 5: Solve for x
    x = 119,071,469.75/11,782.79
  6. Step 6: Final answer
    x = 10,105.54

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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.