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Finding the Fourth Proportional to 7,714.68, 11,563.25 and 4,794.99

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Solution

The fourth proportional to 7,714.68, 11,563.25 and 4,794.99 is: 7,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.68 : 11,563.25 = 4,794.99 : x
  2. Step 2: Convert to fraction form
    7,714.68/11,563.25 = 4,794.99/x
  3. Step 3: Cross multiply
    7,714.68x = 11,563.25 × 4,794.99
  4. Step 4: Simplify right side
    7,714.68x = 55,445,644.14
  5. Step 5: Solve for x
    x = 55,445,644.14/7,714.68
  6. Step 6: Final answer
    x = 7,187.03

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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.