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Finding the Fourth Proportional to 11,615.31, 16,031.66 and 7,142.90

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Solution

The fourth proportional to 11,615.31, 16,031.66 and 7,142.90 is: 9,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.31 : 16,031.66 = 7,142.90 : x
  2. Step 2: Convert to fraction form
    11,615.31/16,031.66 = 7,142.90/x
  3. Step 3: Cross multiply
    11,615.31x = 16,031.66 × 7,142.90
  4. Step 4: Simplify right side
    11,615.31x = 114,512,544.21
  5. Step 5: Solve for x
    x = 114,512,544.21/11,615.31
  6. Step 6: Final answer
    x = 9,858.76

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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.