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Finding the Fourth Proportional to 6,860.63, 10,277.79 and 4,078.88

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Solution

The fourth proportional to 6,860.63, 10,277.79 and 4,078.88 is: 6,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.63 : 10,277.79 = 4,078.88 : x
  2. Step 2: Convert to fraction form
    6,860.63/10,277.79 = 4,078.88/x
  3. Step 3: Cross multiply
    6,860.63x = 10,277.79 × 4,078.88
  4. Step 4: Simplify right side
    6,860.63x = 41,921,820.69
  5. Step 5: Solve for x
    x = 41,921,820.69/6,860.63
  6. Step 6: Final answer
    x = 6,110.50

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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.