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Finding the Fourth Proportional to 10,551.96, 15,829.02 and 4,629.38

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Solution

The fourth proportional to 10,551.96, 15,829.02 and 4,629.38 is: 6,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.96 : 15,829.02 = 4,629.38 : x
  2. Step 2: Convert to fraction form
    10,551.96/15,829.02 = 4,629.38/x
  3. Step 3: Cross multiply
    10,551.96x = 15,829.02 × 4,629.38
  4. Step 4: Simplify right side
    10,551.96x = 73,278,469.46
  5. Step 5: Solve for x
    x = 73,278,469.46/10,551.96
  6. Step 6: Final answer
    x = 6,944.54

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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.