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Finding the Fourth Proportional to 11,771.65, 16,247.96 and 7,292.86

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Solution

The fourth proportional to 11,771.65, 16,247.96 and 7,292.86 is: 10,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.65 : 16,247.96 = 7,292.86 : x
  2. Step 2: Convert to fraction form
    11,771.65/16,247.96 = 7,292.86/x
  3. Step 3: Cross multiply
    11,771.65x = 16,247.96 × 7,292.86
  4. Step 4: Simplify right side
    11,771.65x = 118,494,097.57
  5. Step 5: Solve for x
    x = 118,494,097.57/11,771.65
  6. Step 6: Final answer
    x = 10,066.06

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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.