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Finding the Fourth Proportional to 7,578.40, 11,369.42 and 2,384.28

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Solution

The fourth proportional to 7,578.40, 11,369.42 and 2,384.28 is: 3,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.40 : 11,369.42 = 2,384.28 : x
  2. Step 2: Convert to fraction form
    7,578.40/11,369.42 = 2,384.28/x
  3. Step 3: Cross multiply
    7,578.40x = 11,369.42 × 2,384.28
  4. Step 4: Simplify right side
    7,578.40x = 27,107,880.72
  5. Step 5: Solve for x
    x = 27,107,880.72/7,578.40
  6. Step 6: Final answer
    x = 3,576.99

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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.