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Finding the Fourth Proportional to 10,906.30, 16,349.73 and 4,328.02

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Solution

The fourth proportional to 10,906.30, 16,349.73 and 4,328.02 is: 6,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.30 : 16,349.73 = 4,328.02 : x
  2. Step 2: Convert to fraction form
    10,906.30/16,349.73 = 4,328.02/x
  3. Step 3: Cross multiply
    10,906.30x = 16,349.73 × 4,328.02
  4. Step 4: Simplify right side
    10,906.30x = 70,761,958.43
  5. Step 5: Solve for x
    x = 70,761,958.43/10,906.30
  6. Step 6: Final answer
    x = 6,488.17

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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.