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Finding the Fourth Proportional to 11,563.91, 15,958.49 and 7,090.13

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Solution

The fourth proportional to 11,563.91, 15,958.49 and 7,090.13 is: 9,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.91 : 15,958.49 = 7,090.13 : x
  2. Step 2: Convert to fraction form
    11,563.91/15,958.49 = 7,090.13/x
  3. Step 3: Cross multiply
    11,563.91x = 15,958.49 × 7,090.13
  4. Step 4: Simplify right side
    11,563.91x = 113,147,832.97
  5. Step 5: Solve for x
    x = 113,147,832.97/11,563.91
  6. Step 6: Final answer
    x = 9,784.56

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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.