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Finding the Fourth Proportional to 7,847.04, 11,766.96 and 2,916.48

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Solution

The fourth proportional to 7,847.04, 11,766.96 and 2,916.48 is: 4,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.04 : 11,766.96 = 2,916.48 : x
  2. Step 2: Convert to fraction form
    7,847.04/11,766.96 = 2,916.48/x
  3. Step 3: Cross multiply
    7,847.04x = 11,766.96 × 2,916.48
  4. Step 4: Simplify right side
    7,847.04x = 34,318,103.50
  5. Step 5: Solve for x
    x = 34,318,103.50/7,847.04
  6. Step 6: Final answer
    x = 4,373.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.