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Finding the Fourth Proportional to 6,774.84, 10,155.78 and 2,881.44

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Solution

The fourth proportional to 6,774.84, 10,155.78 and 2,881.44 is: 4,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.84 : 10,155.78 = 2,881.44 : x
  2. Step 2: Convert to fraction form
    6,774.84/10,155.78 = 2,881.44/x
  3. Step 3: Cross multiply
    6,774.84x = 10,155.78 × 2,881.44
  4. Step 4: Simplify right side
    6,774.84x = 29,263,270.72
  5. Step 5: Solve for x
    x = 29,263,270.72/6,774.84
  6. Step 6: Final answer
    x = 4,319.40

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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.