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Finding the Fourth Proportional to 7,714.51, 11,556.27 and 3,548.70

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Solution

The fourth proportional to 7,714.51, 11,556.27 and 3,548.70 is: 5,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.51 : 11,556.27 = 3,548.70 : x
  2. Step 2: Convert to fraction form
    7,714.51/11,556.27 = 3,548.70/x
  3. Step 3: Cross multiply
    7,714.51x = 11,556.27 × 3,548.70
  4. Step 4: Simplify right side
    7,714.51x = 41,009,735.35
  5. Step 5: Solve for x
    x = 41,009,735.35/7,714.51
  6. Step 6: Final answer
    x = 5,315.92

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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.