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Finding the Fourth Proportional to 11,353.97, 15,668.72 and 6,319.09

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Solution

The fourth proportional to 11,353.97, 15,668.72 and 6,319.09 is: 8,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.97 : 15,668.72 = 6,319.09 : x
  2. Step 2: Convert to fraction form
    11,353.97/15,668.72 = 6,319.09/x
  3. Step 3: Cross multiply
    11,353.97x = 15,668.72 × 6,319.09
  4. Step 4: Simplify right side
    11,353.97x = 99,012,028.49
  5. Step 5: Solve for x
    x = 99,012,028.49/11,353.97
  6. Step 6: Final answer
    x = 8,720.47

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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.