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Finding the Fourth Proportional to 10,906.80, 16,350.60 and 9,740.40

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Solution

The fourth proportional to 10,906.80, 16,350.60 and 9,740.40 is: 14,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.80 : 16,350.60 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    10,906.80/16,350.60 = 9,740.40/x
  3. Step 3: Cross multiply
    10,906.80x = 16,350.60 × 9,740.40
  4. Step 4: Simplify right side
    10,906.80x = 159,261,384.24
  5. Step 5: Solve for x
    x = 159,261,384.24/10,906.80
  6. Step 6: Final answer
    x = 14,602.03

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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.