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Finding the Fourth Proportional to 7,768.56, 11,656.30 and 4,069.92

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Solution

The fourth proportional to 7,768.56, 11,656.30 and 4,069.92 is: 6,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.56 : 11,656.30 = 4,069.92 : x
  2. Step 2: Convert to fraction form
    7,768.56/11,656.30 = 4,069.92/x
  3. Step 3: Cross multiply
    7,768.56x = 11,656.30 × 4,069.92
  4. Step 4: Simplify right side
    7,768.56x = 47,440,208.50
  5. Step 5: Solve for x
    x = 47,440,208.50/7,768.56
  6. Step 6: Final answer
    x = 6,106.69

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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.