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Finding the Fourth Proportional to 10,930.54, 16,408.84 and 10,484.94

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Solution

The fourth proportional to 10,930.54, 16,408.84 and 10,484.94 is: 15,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.54 : 16,408.84 = 10,484.94 : x
  2. Step 2: Convert to fraction form
    10,930.54/16,408.84 = 10,484.94/x
  3. Step 3: Cross multiply
    10,930.54x = 16,408.84 × 10,484.94
  4. Step 4: Simplify right side
    10,930.54x = 172,045,702.87
  5. Step 5: Solve for x
    x = 172,045,702.87/10,930.54
  6. Step 6: Final answer
    x = 15,739.91

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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.