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Finding the Fourth Proportional to 10,616.32, 15,923.67 and 3,596.05

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Solution

The fourth proportional to 10,616.32, 15,923.67 and 3,596.05 is: 5,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.32 : 15,923.67 = 3,596.05 : x
  2. Step 2: Convert to fraction form
    10,616.32/15,923.67 = 3,596.05/x
  3. Step 3: Cross multiply
    10,616.32x = 15,923.67 × 3,596.05
  4. Step 4: Simplify right side
    10,616.32x = 57,262,313.50
  5. Step 5: Solve for x
    x = 57,262,313.50/10,616.32
  6. Step 6: Final answer
    x = 5,393.80

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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.