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Finding the Fourth Proportional to 11,393.21, 15,717.75 and 7,141.34

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Solution

The fourth proportional to 11,393.21, 15,717.75 and 7,141.34 is: 9,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.21 : 15,717.75 = 7,141.34 : x
  2. Step 2: Convert to fraction form
    11,393.21/15,717.75 = 7,141.34/x
  3. Step 3: Cross multiply
    11,393.21x = 15,717.75 × 7,141.34
  4. Step 4: Simplify right side
    11,393.21x = 112,245,796.79
  5. Step 5: Solve for x
    x = 112,245,796.79/11,393.21
  6. Step 6: Final answer
    x = 9,851.99

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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.