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Finding the Fourth Proportional to 7,443.36, 11,165.04 and 2,513

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Solution

The fourth proportional to 7,443.36, 11,165.04 and 2,513 is: 3,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.36 : 11,165.04 = 2,513 : x
  2. Step 2: Convert to fraction form
    7,443.36/11,165.04 = 2,513/x
  3. Step 3: Cross multiply
    7,443.36x = 11,165.04 × 2,513
  4. Step 4: Simplify right side
    7,443.36x = 28,057,745.52
  5. Step 5: Solve for x
    x = 28,057,745.52/7,443.36
  6. Step 6: Final answer
    x = 3,769.50

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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.