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Finding the Fourth Proportional to 10,357.44, 15,514.56 and 7,728.72

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Solution

The fourth proportional to 10,357.44, 15,514.56 and 7,728.72 is: 11,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.44 : 15,514.56 = 7,728.72 : x
  2. Step 2: Convert to fraction form
    10,357.44/15,514.56 = 7,728.72/x
  3. Step 3: Cross multiply
    10,357.44x = 15,514.56 × 7,728.72
  4. Step 4: Simplify right side
    10,357.44x = 119,907,690.16
  5. Step 5: Solve for x
    x = 119,907,690.16/10,357.44
  6. Step 6: Final answer
    x = 11,576.96

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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.