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Finding the Fourth Proportional to 7,453.40, 10,285.86 and 4,096.40

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Solution

The fourth proportional to 7,453.40, 10,285.86 and 4,096.40 is: 5,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.40 : 10,285.86 = 4,096.40 : x
  2. Step 2: Convert to fraction form
    7,453.40/10,285.86 = 4,096.40/x
  3. Step 3: Cross multiply
    7,453.40x = 10,285.86 × 4,096.40
  4. Step 4: Simplify right side
    7,453.40x = 42,134,996.90
  5. Step 5: Solve for x
    x = 42,134,996.90/7,453.40
  6. Step 6: Final answer
    x = 5,653.12

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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.