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Finding the Fourth Proportional to 6,770.62, 10,155.93 and 2,878.30

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Solution

The fourth proportional to 6,770.62, 10,155.93 and 2,878.30 is: 4,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.62 : 10,155.93 = 2,878.30 : x
  2. Step 2: Convert to fraction form
    6,770.62/10,155.93 = 2,878.30/x
  3. Step 3: Cross multiply
    6,770.62x = 10,155.93 × 2,878.30
  4. Step 4: Simplify right side
    6,770.62x = 29,231,813.32
  5. Step 5: Solve for x
    x = 29,231,813.32/6,770.62
  6. Step 6: Final answer
    x = 4,317.45

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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.