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Finding the Fourth Proportional to 10,028.21, 13,838.85 and 6,051.51

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Solution

The fourth proportional to 10,028.21, 13,838.85 and 6,051.51 is: 8,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.21 : 13,838.85 = 6,051.51 : x
  2. Step 2: Convert to fraction form
    10,028.21/13,838.85 = 6,051.51/x
  3. Step 3: Cross multiply
    10,028.21x = 13,838.85 × 6,051.51
  4. Step 4: Simplify right side
    10,028.21x = 83,745,939.16
  5. Step 5: Solve for x
    x = 83,745,939.16/10,028.21
  6. Step 6: Final answer
    x = 8,351.04

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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.