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Finding the Fourth Proportional to 10,734.98, 16,100.42 and 3,339.53

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Solution

The fourth proportional to 10,734.98, 16,100.42 and 3,339.53 is: 5,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.98 : 16,100.42 = 3,339.53 : x
  2. Step 2: Convert to fraction form
    10,734.98/16,100.42 = 3,339.53/x
  3. Step 3: Cross multiply
    10,734.98x = 16,100.42 × 3,339.53
  4. Step 4: Simplify right side
    10,734.98x = 53,767,738.40
  5. Step 5: Solve for x
    x = 53,767,738.40/10,734.98
  6. Step 6: Final answer
    x = 5,008.65

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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.