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Finding the Fourth Proportional to 7,779.23, 10,738.95 and 4,591.48

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Solution

The fourth proportional to 7,779.23, 10,738.95 and 4,591.48 is: 6,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.23 : 10,738.95 = 4,591.48 : x
  2. Step 2: Convert to fraction form
    7,779.23/10,738.95 = 4,591.48/x
  3. Step 3: Cross multiply
    7,779.23x = 10,738.95 × 4,591.48
  4. Step 4: Simplify right side
    7,779.23x = 49,307,620.45
  5. Step 5: Solve for x
    x = 49,307,620.45/7,779.23
  6. Step 6: Final answer
    x = 6,338.37

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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.