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Finding the Fourth Proportional to 7,714.75, 11,556.64 and 3,548.95

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Solution

The fourth proportional to 7,714.75, 11,556.64 and 3,548.95 is: 5,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.75 : 11,556.64 = 3,548.95 : x
  2. Step 2: Convert to fraction form
    7,714.75/11,556.64 = 3,548.95/x
  3. Step 3: Cross multiply
    7,714.75x = 11,556.64 × 3,548.95
  4. Step 4: Simplify right side
    7,714.75x = 41,013,937.53
  5. Step 5: Solve for x
    x = 41,013,937.53/7,714.75
  6. Step 6: Final answer
    x = 5,316.30

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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.