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Finding the Fourth Proportional to 10,930.20, 16,401.06 and 6,316.44

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Solution

The fourth proportional to 10,930.20, 16,401.06 and 6,316.44 is: 9,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.20 : 16,401.06 = 6,316.44 : x
  2. Step 2: Convert to fraction form
    10,930.20/16,401.06 = 6,316.44/x
  3. Step 3: Cross multiply
    10,930.20x = 16,401.06 × 6,316.44
  4. Step 4: Simplify right side
    10,930.20x = 103,596,311.43
  5. Step 5: Solve for x
    x = 103,596,311.43/10,930.20
  6. Step 6: Final answer
    x = 9,477.99

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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.