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Finding the Fourth Proportional to 10,004.16, 15,006.96 and 3,078.84

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Solution

The fourth proportional to 10,004.16, 15,006.96 and 3,078.84 is: 4,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.16 : 15,006.96 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    10,004.16/15,006.96 = 3,078.84/x
  3. Step 3: Cross multiply
    10,004.16x = 15,006.96 × 3,078.84
  4. Step 4: Simplify right side
    10,004.16x = 46,204,028.73
  5. Step 5: Solve for x
    x = 46,204,028.73/10,004.16
  6. Step 6: Final answer
    x = 4,618.48

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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.