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Finding the Fourth Proportional to 11,389.32, 15,723.72 and 7,408.44

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Solution

The fourth proportional to 11,389.32, 15,723.72 and 7,408.44 is: 10,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.32 : 15,723.72 = 7,408.44 : x
  2. Step 2: Convert to fraction form
    11,389.32/15,723.72 = 7,408.44/x
  3. Step 3: Cross multiply
    11,389.32x = 15,723.72 × 7,408.44
  4. Step 4: Simplify right side
    11,389.32x = 116,488,236.20
  5. Step 5: Solve for x
    x = 116,488,236.20/11,389.32
  6. Step 6: Final answer
    x = 10,227.85

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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.