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Finding the Fourth Proportional to 10,902.20, 16,356.03 and 3,506.49

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Solution

The fourth proportional to 10,902.20, 16,356.03 and 3,506.49 is: 5,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.20 : 16,356.03 = 3,506.49 : x
  2. Step 2: Convert to fraction form
    10,902.20/16,356.03 = 3,506.49/x
  3. Step 3: Cross multiply
    10,902.20x = 16,356.03 × 3,506.49
  4. Step 4: Simplify right side
    10,902.20x = 57,352,242.49
  5. Step 5: Solve for x
    x = 57,352,242.49/10,902.20
  6. Step 6: Final answer
    x = 5,260.61

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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.