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Finding the Fourth Proportional to 10,930.56, 16,399.02 and 6,492.30

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Solution

The fourth proportional to 10,930.56, 16,399.02 and 6,492.30 is: 9,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 16,399.02 = 6,492.30 : x
  2. Step 2: Convert to fraction form
    10,930.56/16,399.02 = 6,492.30/x
  3. Step 3: Cross multiply
    10,930.56x = 16,399.02 × 6,492.30
  4. Step 4: Simplify right side
    10,930.56x = 106,467,357.55
  5. Step 5: Solve for x
    x = 106,467,357.55/10,930.56
  6. Step 6: Final answer
    x = 9,740.34

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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.