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Finding the Fourth Proportional to 10,928.38, 16,408.93 and 6,253.66

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Solution

The fourth proportional to 10,928.38, 16,408.93 and 6,253.66 is: 9,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.38 : 16,408.93 = 6,253.66 : x
  2. Step 2: Convert to fraction form
    10,928.38/16,408.93 = 6,253.66/x
  3. Step 3: Cross multiply
    10,928.38x = 16,408.93 × 6,253.66
  4. Step 4: Simplify right side
    10,928.38x = 102,615,869.18
  5. Step 5: Solve for x
    x = 102,615,869.18/10,928.38
  6. Step 6: Final answer
    x = 9,389.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.