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Finding the Fourth Proportional to 11,791.76, 16,263.41 and 7,313.00

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Solution

The fourth proportional to 11,791.76, 16,263.41 and 7,313.00 is: 10,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.76 : 16,263.41 = 7,313.00 : x
  2. Step 2: Convert to fraction form
    11,791.76/16,263.41 = 7,313.00/x
  3. Step 3: Cross multiply
    11,791.76x = 16,263.41 × 7,313.00
  4. Step 4: Simplify right side
    11,791.76x = 118,934,199.45
  5. Step 5: Solve for x
    x = 118,934,199.45/11,791.76
  6. Step 6: Final answer
    x = 10,086.22

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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.