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Finding the Fourth Proportional to 7,740.76, 10,682.16 and 4,204

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Solution

The fourth proportional to 7,740.76, 10,682.16 and 4,204 is: 5,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.76 : 10,682.16 = 4,204 : x
  2. Step 2: Convert to fraction form
    7,740.76/10,682.16 = 4,204/x
  3. Step 3: Cross multiply
    7,740.76x = 10,682.16 × 4,204
  4. Step 4: Simplify right side
    7,740.76x = 44,907,800.64
  5. Step 5: Solve for x
    x = 44,907,800.64/7,740.76
  6. Step 6: Final answer
    x = 5,801.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.