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Finding the Fourth Proportional to 10,596.15, 15,894.36 and 3,200.67

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Solution

The fourth proportional to 10,596.15, 15,894.36 and 3,200.67 is: 4,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.15 : 15,894.36 = 3,200.67 : x
  2. Step 2: Convert to fraction form
    10,596.15/15,894.36 = 3,200.67/x
  3. Step 3: Cross multiply
    10,596.15x = 15,894.36 × 3,200.67
  4. Step 4: Simplify right side
    10,596.15x = 50,872,601.22
  5. Step 5: Solve for x
    x = 50,872,601.22/10,596.15
  6. Step 6: Final answer
    x = 4,801.05

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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.