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Finding the Fourth Proportional to 10,734.34, 16,103.49 and 3,338.32

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Solution

The fourth proportional to 10,734.34, 16,103.49 and 3,338.32 is: 5,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.34 : 16,103.49 = 3,338.32 : x
  2. Step 2: Convert to fraction form
    10,734.34/16,103.49 = 3,338.32/x
  3. Step 3: Cross multiply
    10,734.34x = 16,103.49 × 3,338.32
  4. Step 4: Simplify right side
    10,734.34x = 53,758,602.74
  5. Step 5: Solve for x
    x = 53,758,602.74/10,734.34
  6. Step 6: Final answer
    x = 5,008.10

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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.