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Finding the Fourth Proportional to 7,714.67, 11,556.59 and 3,548.97

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Solution

The fourth proportional to 7,714.67, 11,556.59 and 3,548.97 is: 5,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.67 : 11,556.59 = 3,548.97 : x
  2. Step 2: Convert to fraction form
    7,714.67/11,556.59 = 3,548.97/x
  3. Step 3: Cross multiply
    7,714.67x = 11,556.59 × 3,548.97
  4. Step 4: Simplify right side
    7,714.67x = 41,014,000.08
  5. Step 5: Solve for x
    x = 41,014,000.08/7,714.67
  6. Step 6: Final answer
    x = 5,316.36

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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.