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Finding the Fourth Proportional to 7,453.54, 10,285.86 and 4,096.28

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Solution

The fourth proportional to 7,453.54, 10,285.86 and 4,096.28 is: 5,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.54 : 10,285.86 = 4,096.28 : x
  2. Step 2: Convert to fraction form
    7,453.54/10,285.86 = 4,096.28/x
  3. Step 3: Cross multiply
    7,453.54x = 10,285.86 × 4,096.28
  4. Step 4: Simplify right side
    7,453.54x = 42,133,793.26
  5. Step 5: Solve for x
    x = 42,133,793.26/7,453.54
  6. Step 6: Final answer
    x = 5,652.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.