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Finding the Fourth Proportional to 7,096.94, 10,647.09 and 3,578.30

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Solution

The fourth proportional to 7,096.94, 10,647.09 and 3,578.30 is: 5,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.94 : 10,647.09 = 3,578.30 : x
  2. Step 2: Convert to fraction form
    7,096.94/10,647.09 = 3,578.30/x
  3. Step 3: Cross multiply
    7,096.94x = 10,647.09 × 3,578.30
  4. Step 4: Simplify right side
    7,096.94x = 38,098,428.91
  5. Step 5: Solve for x
    x = 38,098,428.91/7,096.94
  6. Step 6: Final answer
    x = 5,368.29

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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.