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Finding the Fourth Proportional to 13,583.80, 18,745.38 and 7,534

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Solution

The fourth proportional to 13,583.80, 18,745.38 and 7,534 is: 10,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.80 : 18,745.38 = 7,534 : x
  2. Step 2: Convert to fraction form
    13,583.80/18,745.38 = 7,534/x
  3. Step 3: Cross multiply
    13,583.80x = 18,745.38 × 7,534
  4. Step 4: Simplify right side
    13,583.80x = 141,227,692.92
  5. Step 5: Solve for x
    x = 141,227,692.92/13,583.80
  6. Step 6: Final answer
    x = 10,396.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.