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Finding the Fourth Proportional to 13,064.57, 19,583.43 and 5,163.88

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Solution

The fourth proportional to 13,064.57, 19,583.43 and 5,163.88 is: 7,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.57 : 19,583.43 = 5,163.88 : x
  2. Step 2: Convert to fraction form
    13,064.57/19,583.43 = 5,163.88/x
  3. Step 3: Cross multiply
    13,064.57x = 19,583.43 × 5,163.88
  4. Step 4: Simplify right side
    13,064.57x = 101,126,384.59
  5. Step 5: Solve for x
    x = 101,126,384.59/13,064.57
  6. Step 6: Final answer
    x = 7,740.51

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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.