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Finding the Fourth Proportional to 11,714.56, 17,556.24 and 4,312.18

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Solution

The fourth proportional to 11,714.56, 17,556.24 and 4,312.18 is: 6,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.56 : 17,556.24 = 4,312.18 : x
  2. Step 2: Convert to fraction form
    11,714.56/17,556.24 = 4,312.18/x
  3. Step 3: Cross multiply
    11,714.56x = 17,556.24 × 4,312.18
  4. Step 4: Simplify right side
    11,714.56x = 75,705,667.00
  5. Step 5: Solve for x
    x = 75,705,667.00/11,714.56
  6. Step 6: Final answer
    x = 6,462.53

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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.