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Finding the Fourth Proportional to 6,774.76, 10,162.05 and 3,486.10

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Solution

The fourth proportional to 6,774.76, 10,162.05 and 3,486.10 is: 5,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.76 : 10,162.05 = 3,486.10 : x
  2. Step 2: Convert to fraction form
    6,774.76/10,162.05 = 3,486.10/x
  3. Step 3: Cross multiply
    6,774.76x = 10,162.05 × 3,486.10
  4. Step 4: Simplify right side
    6,774.76x = 35,425,922.51
  5. Step 5: Solve for x
    x = 35,425,922.51/6,774.76
  6. Step 6: Final answer
    x = 5,229.10

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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.