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Finding the Fourth Proportional to 8,207.94, 12,313.53 and 2,941.53

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Solution

The fourth proportional to 8,207.94, 12,313.53 and 2,941.53 is: 4,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.94 : 12,313.53 = 2,941.53 : x
  2. Step 2: Convert to fraction form
    8,207.94/12,313.53 = 2,941.53/x
  3. Step 3: Cross multiply
    8,207.94x = 12,313.53 × 2,941.53
  4. Step 4: Simplify right side
    8,207.94x = 36,220,617.90
  5. Step 5: Solve for x
    x = 36,220,617.90/8,207.94
  6. Step 6: Final answer
    x = 4,412.88

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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.