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Finding the Fourth Proportional to 7,611.10, 11,415.11 and 2,064.84

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Solution

The fourth proportional to 7,611.10, 11,415.11 and 2,064.84 is: 3,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.10 : 11,415.11 = 2,064.84 : x
  2. Step 2: Convert to fraction form
    7,611.10/11,415.11 = 2,064.84/x
  3. Step 3: Cross multiply
    7,611.10x = 11,415.11 × 2,064.84
  4. Step 4: Simplify right side
    7,611.10x = 23,570,334.90
  5. Step 5: Solve for x
    x = 23,570,334.90/7,611.10
  6. Step 6: Final answer
    x = 3,096.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.