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Finding the Fourth Proportional to 7,611.14, 11,416.72 and 2,064.48

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Solution

The fourth proportional to 7,611.14, 11,416.72 and 2,064.48 is: 3,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.14 : 11,416.72 = 2,064.48 : x
  2. Step 2: Convert to fraction form
    7,611.14/11,416.72 = 2,064.48/x
  3. Step 3: Cross multiply
    7,611.14x = 11,416.72 × 2,064.48
  4. Step 4: Simplify right side
    7,611.14x = 23,569,590.11
  5. Step 5: Solve for x
    x = 23,569,590.11/7,611.14
  6. Step 6: Final answer
    x = 3,096.72

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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.