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Finding the Fourth Proportional to 10,734.40, 16,096.20 and 6,353.20

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Solution

The fourth proportional to 10,734.40, 16,096.20 and 6,353.20 is: 9,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.40 : 16,096.20 = 6,353.20 : x
  2. Step 2: Convert to fraction form
    10,734.40/16,096.20 = 6,353.20/x
  3. Step 3: Cross multiply
    10,734.40x = 16,096.20 × 6,353.20
  4. Step 4: Simplify right side
    10,734.40x = 102,262,377.84
  5. Step 5: Solve for x
    x = 102,262,377.84/10,734.40
  6. Step 6: Final answer
    x = 9,526.60

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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.