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Finding the Fourth Proportional to 10,903.40, 16,355.10 and 6,996.20

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Solution

The fourth proportional to 10,903.40, 16,355.10 and 6,996.20 is: 10,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.40 : 16,355.10 = 6,996.20 : x
  2. Step 2: Convert to fraction form
    10,903.40/16,355.10 = 6,996.20/x
  3. Step 3: Cross multiply
    10,903.40x = 16,355.10 × 6,996.20
  4. Step 4: Simplify right side
    10,903.40x = 114,423,550.62
  5. Step 5: Solve for x
    x = 114,423,550.62/10,903.40
  6. Step 6: Final answer
    x = 10,494.30

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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.