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Finding the Fourth Proportional to 10,734.02, 16,101.06 and 3,336.50

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Solution

The fourth proportional to 10,734.02, 16,101.06 and 3,336.50 is: 5,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.02 : 16,101.06 = 3,336.50 : x
  2. Step 2: Convert to fraction form
    10,734.02/16,101.06 = 3,336.50/x
  3. Step 3: Cross multiply
    10,734.02x = 16,101.06 × 3,336.50
  4. Step 4: Simplify right side
    10,734.02x = 53,721,186.69
  5. Step 5: Solve for x
    x = 53,721,186.69/10,734.02
  6. Step 6: Final answer
    x = 5,004.76

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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.