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Finding the Fourth Proportional to 10,596.69, 15,896.79 and 3,577.37

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Solution

The fourth proportional to 10,596.69, 15,896.79 and 3,577.37 is: 5,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.69 : 15,896.79 = 3,577.37 : x
  2. Step 2: Convert to fraction form
    10,596.69/15,896.79 = 3,577.37/x
  3. Step 3: Cross multiply
    10,596.69x = 15,896.79 × 3,577.37
  4. Step 4: Simplify right side
    10,596.69x = 56,868,620.16
  5. Step 5: Solve for x
    x = 56,868,620.16/10,596.69
  6. Step 6: Final answer
    x = 5,366.64

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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.