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Finding the Fourth Proportional to 7,137.37, 10,706.12 and 3,188.84

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Solution

The fourth proportional to 7,137.37, 10,706.12 and 3,188.84 is: 4,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.37 : 10,706.12 = 3,188.84 : x
  2. Step 2: Convert to fraction form
    7,137.37/10,706.12 = 3,188.84/x
  3. Step 3: Cross multiply
    7,137.37x = 10,706.12 × 3,188.84
  4. Step 4: Simplify right side
    7,137.37x = 34,140,064.12
  5. Step 5: Solve for x
    x = 34,140,064.12/7,137.37
  6. Step 6: Final answer
    x = 4,783.29

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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.