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Finding the Fourth Proportional to 10,028.16, 13,842.72 and 6,301.44

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Solution

The fourth proportional to 10,028.16, 13,842.72 and 6,301.44 is: 8,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.16 : 13,842.72 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    10,028.16/13,842.72 = 6,301.44/x
  3. Step 3: Cross multiply
    10,028.16x = 13,842.72 × 6,301.44
  4. Step 4: Simplify right side
    10,028.16x = 87,229,069.52
  5. Step 5: Solve for x
    x = 87,229,069.52/10,028.16
  6. Step 6: Final answer
    x = 8,698.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.