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Finding the Fourth Proportional to 10,408.54, 14,330.49 and 8,425.66

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Solution

The fourth proportional to 10,408.54, 14,330.49 and 8,425.66 is: 11,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.54 : 14,330.49 = 8,425.66 : x
  2. Step 2: Convert to fraction form
    10,408.54/14,330.49 = 8,425.66/x
  3. Step 3: Cross multiply
    10,408.54x = 14,330.49 × 8,425.66
  4. Step 4: Simplify right side
    10,408.54x = 120,743,836.37
  5. Step 5: Solve for x
    x = 120,743,836.37/10,408.54
  6. Step 6: Final answer
    x = 11,600.46

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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.