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Finding the Fourth Proportional to 10,906.84, 16,356.61 and 4,331.26

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Solution

The fourth proportional to 10,906.84, 16,356.61 and 4,331.26 is: 6,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.84 : 16,356.61 = 4,331.26 : x
  2. Step 2: Convert to fraction form
    10,906.84/16,356.61 = 4,331.26/x
  3. Step 3: Cross multiply
    10,906.84x = 16,356.61 × 4,331.26
  4. Step 4: Simplify right side
    10,906.84x = 70,844,730.63
  5. Step 5: Solve for x
    x = 70,844,730.63/10,906.84
  6. Step 6: Final answer
    x = 6,495.44

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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.