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Finding the Fourth Proportional to 7,706.22, 11,556.59 and 2,774.53

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Solution

The fourth proportional to 7,706.22, 11,556.59 and 2,774.53 is: 4,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.22 : 11,556.59 = 2,774.53 : x
  2. Step 2: Convert to fraction form
    7,706.22/11,556.59 = 2,774.53/x
  3. Step 3: Cross multiply
    7,706.22x = 11,556.59 × 2,774.53
  4. Step 4: Simplify right side
    7,706.22x = 32,064,116.63
  5. Step 5: Solve for x
    x = 32,064,116.63/7,706.22
  6. Step 6: Final answer
    x = 4,160.81

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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.