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Finding the Fourth Proportional to 7,771.41, 10,779.44 and 7,491.20

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Solution

The fourth proportional to 7,771.41, 10,779.44 and 7,491.20 is: 10,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.41 : 10,779.44 = 7,491.20 : x
  2. Step 2: Convert to fraction form
    7,771.41/10,779.44 = 7,491.20/x
  3. Step 3: Cross multiply
    7,771.41x = 10,779.44 × 7,491.20
  4. Step 4: Simplify right side
    7,771.41x = 80,750,849.57
  5. Step 5: Solve for x
    x = 80,750,849.57/7,771.41
  6. Step 6: Final answer
    x = 10,390.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.