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Finding the Fourth Proportional to 11,615.71, 16,029.67 and 6,310.49

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Solution

The fourth proportional to 11,615.71, 16,029.67 and 6,310.49 is: 8,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.71 : 16,029.67 = 6,310.49 : x
  2. Step 2: Convert to fraction form
    11,615.71/16,029.67 = 6,310.49/x
  3. Step 3: Cross multiply
    11,615.71x = 16,029.67 × 6,310.49
  4. Step 4: Simplify right side
    11,615.71x = 101,155,040.69
  5. Step 5: Solve for x
    x = 101,155,040.69/11,615.71
  6. Step 6: Final answer
    x = 8,708.47

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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.