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Finding the Fourth Proportional to 11,714.96, 17,576.78 and 5,477.00

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Solution

The fourth proportional to 11,714.96, 17,576.78 and 5,477.00 is: 8,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.96 : 17,576.78 = 5,477.00 : x
  2. Step 2: Convert to fraction form
    11,714.96/17,576.78 = 5,477.00/x
  3. Step 3: Cross multiply
    11,714.96x = 17,576.78 × 5,477.00
  4. Step 4: Simplify right side
    11,714.96x = 96,267,908.79
  5. Step 5: Solve for x
    x = 96,267,908.79/11,714.96
  6. Step 6: Final answer
    x = 8,217.52

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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.