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Finding the Fourth Proportional to 11,012.96, 16,519.52 and 2,804.96

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Solution

The fourth proportional to 11,012.96, 16,519.52 and 2,804.96 is: 4,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.96 : 16,519.52 = 2,804.96 : x
  2. Step 2: Convert to fraction form
    11,012.96/16,519.52 = 2,804.96/x
  3. Step 3: Cross multiply
    11,012.96x = 16,519.52 × 2,804.96
  4. Step 4: Simplify right side
    11,012.96x = 46,336,592.82
  5. Step 5: Solve for x
    x = 46,336,592.82/11,012.96
  6. Step 6: Final answer
    x = 4,207.46

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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.