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Finding the Fourth Proportional to 7,645.44, 11,466.24 and 2,714.88

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Solution

The fourth proportional to 7,645.44, 11,466.24 and 2,714.88 is: 4,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.44 : 11,466.24 = 2,714.88 : x
  2. Step 2: Convert to fraction form
    7,645.44/11,466.24 = 2,714.88/x
  3. Step 3: Cross multiply
    7,645.44x = 11,466.24 × 2,714.88
  4. Step 4: Simplify right side
    7,645.44x = 31,129,465.65
  5. Step 5: Solve for x
    x = 31,129,465.65/7,645.44
  6. Step 6: Final answer
    x = 4,071.64

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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.