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Finding the Fourth Proportional to 6,774.12, 10,162.10 and 3,077.28

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Solution

The fourth proportional to 6,774.12, 10,162.10 and 3,077.28 is: 4,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.12 : 10,162.10 = 3,077.28 : x
  2. Step 2: Convert to fraction form
    6,774.12/10,162.10 = 3,077.28/x
  3. Step 3: Cross multiply
    6,774.12x = 10,162.10 × 3,077.28
  4. Step 4: Simplify right side
    6,774.12x = 31,271,627.09
  5. Step 5: Solve for x
    x = 31,271,627.09/6,774.12
  6. Step 6: Final answer
    x = 4,616.34

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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.