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Finding the Fourth Proportional to 8,277.72, 12,419.82 and 3,084

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Solution

The fourth proportional to 8,277.72, 12,419.82 and 3,084 is: 4,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.72 : 12,419.82 = 3,084 : x
  2. Step 2: Convert to fraction form
    8,277.72/12,419.82 = 3,084/x
  3. Step 3: Cross multiply
    8,277.72x = 12,419.82 × 3,084
  4. Step 4: Simplify right side
    8,277.72x = 38,302,724.88
  5. Step 5: Solve for x
    x = 38,302,724.88/8,277.72
  6. Step 6: Final answer
    x = 4,627.21

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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.