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Finding the Fourth Proportional to 7,453.38, 10,285.65 and 4,096.41

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Solution

The fourth proportional to 7,453.38, 10,285.65 and 4,096.41 is: 5,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.38 : 10,285.65 = 4,096.41 : x
  2. Step 2: Convert to fraction form
    7,453.38/10,285.65 = 4,096.41/x
  3. Step 3: Cross multiply
    7,453.38x = 10,285.65 × 4,096.41
  4. Step 4: Simplify right side
    7,453.38x = 42,134,200.95
  5. Step 5: Solve for x
    x = 42,134,200.95/7,453.38
  6. Step 6: Final answer
    x = 5,653.03

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Why These Related Problems?

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