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Finding the Fourth Proportional to 6,774.12, 10,161.18 and 4,465.08

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Solution

The fourth proportional to 6,774.12, 10,161.18 and 4,465.08 is: 6,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.12 : 10,161.18 = 4,465.08 : x
  2. Step 2: Convert to fraction form
    6,774.12/10,161.18 = 4,465.08/x
  3. Step 3: Cross multiply
    6,774.12x = 10,161.18 × 4,465.08
  4. Step 4: Simplify right side
    6,774.12x = 45,370,481.59
  5. Step 5: Solve for x
    x = 45,370,481.59/6,774.12
  6. Step 6: Final answer
    x = 6,697.62

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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.