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Finding the Fourth Proportional to 7,706.66, 11,563.50 and 3,265.54

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Solution

The fourth proportional to 7,706.66, 11,563.50 and 3,265.54 is: 4,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.66 : 11,563.50 = 3,265.54 : x
  2. Step 2: Convert to fraction form
    7,706.66/11,563.50 = 3,265.54/x
  3. Step 3: Cross multiply
    7,706.66x = 11,563.50 × 3,265.54
  4. Step 4: Simplify right side
    7,706.66x = 37,761,071.79
  5. Step 5: Solve for x
    x = 37,761,071.79/7,706.66
  6. Step 6: Final answer
    x = 4,899.80

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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.