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Finding the Fourth Proportional to 11,408.63, 15,743.91 and 6,440.63

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Solution

The fourth proportional to 11,408.63, 15,743.91 and 6,440.63 is: 8,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.63 : 15,743.91 = 6,440.63 : x
  2. Step 2: Convert to fraction form
    11,408.63/15,743.91 = 6,440.63/x
  3. Step 3: Cross multiply
    11,408.63x = 15,743.91 × 6,440.63
  4. Step 4: Simplify right side
    11,408.63x = 101,400,620.34
  5. Step 5: Solve for x
    x = 101,400,620.34/11,408.63
  6. Step 6: Final answer
    x = 8,888.07

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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.