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Finding the Fourth Proportional to 7,846.66, 11,766.86 and 3,461

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Solution

The fourth proportional to 7,846.66, 11,766.86 and 3,461 is: 5,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.66 : 11,766.86 = 3,461 : x
  2. Step 2: Convert to fraction form
    7,846.66/11,766.86 = 3,461/x
  3. Step 3: Cross multiply
    7,846.66x = 11,766.86 × 3,461
  4. Step 4: Simplify right side
    7,846.66x = 40,725,102.46
  5. Step 5: Solve for x
    x = 40,725,102.46/7,846.66
  6. Step 6: Final answer
    x = 5,190.12

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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.