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Finding the Fourth Proportional to 10,669.54, 16,004.24 and 5,741.50

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Solution

The fourth proportional to 10,669.54, 16,004.24 and 5,741.50 is: 8,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.54 : 16,004.24 = 5,741.50 : x
  2. Step 2: Convert to fraction form
    10,669.54/16,004.24 = 5,741.50/x
  3. Step 3: Cross multiply
    10,669.54x = 16,004.24 × 5,741.50
  4. Step 4: Simplify right side
    10,669.54x = 91,888,343.96
  5. Step 5: Solve for x
    x = 91,888,343.96/10,669.54
  6. Step 6: Final answer
    x = 8,612.21

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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.