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Finding the Fourth Proportional to 7,583.94, 11,371.95 and 2,388.42

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Solution

The fourth proportional to 7,583.94, 11,371.95 and 2,388.42 is: 3,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.94 : 11,371.95 = 2,388.42 : x
  2. Step 2: Convert to fraction form
    7,583.94/11,371.95 = 2,388.42/x
  3. Step 3: Cross multiply
    7,583.94x = 11,371.95 × 2,388.42
  4. Step 4: Simplify right side
    7,583.94x = 27,160,992.82
  5. Step 5: Solve for x
    x = 27,160,992.82/7,583.94
  6. Step 6: Final answer
    x = 3,581.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.