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Finding the Fourth Proportional to 7,714.66, 11,573.07 and 2,519.22

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Solution

The fourth proportional to 7,714.66, 11,573.07 and 2,519.22 is: 3,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.66 : 11,573.07 = 2,519.22 : x
  2. Step 2: Convert to fraction form
    7,714.66/11,573.07 = 2,519.22/x
  3. Step 3: Cross multiply
    7,714.66x = 11,573.07 × 2,519.22
  4. Step 4: Simplify right side
    7,714.66x = 29,155,109.41
  5. Step 5: Solve for x
    x = 29,155,109.41/7,714.66
  6. Step 6: Final answer
    x = 3,779.18

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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.