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Finding the Fourth Proportional to 7,714.56, 11,575.44 and 4,594.48

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Solution

The fourth proportional to 7,714.56, 11,575.44 and 4,594.48 is: 6,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.56 : 11,575.44 = 4,594.48 : x
  2. Step 2: Convert to fraction form
    7,714.56/11,575.44 = 4,594.48/x
  3. Step 3: Cross multiply
    7,714.56x = 11,575.44 × 4,594.48
  4. Step 4: Simplify right side
    7,714.56x = 53,183,127.57
  5. Step 5: Solve for x
    x = 53,183,127.57/7,714.56
  6. Step 6: Final answer
    x = 6,893.86

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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.