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Finding the Fourth Proportional to 11,394.21, 15,719.13 and 7,142.34

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Solution

The fourth proportional to 11,394.21, 15,719.13 and 7,142.34 is: 9,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.21 : 15,719.13 = 7,142.34 : x
  2. Step 2: Convert to fraction form
    11,394.21/15,719.13 = 7,142.34/x
  3. Step 3: Cross multiply
    11,394.21x = 15,719.13 × 7,142.34
  4. Step 4: Simplify right side
    11,394.21x = 112,271,370.96
  5. Step 5: Solve for x
    x = 112,271,370.96/11,394.21
  6. Step 6: Final answer
    x = 9,853.37

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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.