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Finding the Fourth Proportional to 10,806.40, 16,200.64 and 4,647.04

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Solution

The fourth proportional to 10,806.40, 16,200.64 and 4,647.04 is: 6,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.40 : 16,200.64 = 4,647.04 : x
  2. Step 2: Convert to fraction form
    10,806.40/16,200.64 = 4,647.04/x
  3. Step 3: Cross multiply
    10,806.40x = 16,200.64 × 4,647.04
  4. Step 4: Simplify right side
    10,806.40x = 75,285,022.11
  5. Step 5: Solve for x
    x = 75,285,022.11/10,806.40
  6. Step 6: Final answer
    x = 6,966.71

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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.