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Finding the Fourth Proportional to 7,734.56, 10,675.22 and 4,377.38

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Solution

The fourth proportional to 7,734.56, 10,675.22 and 4,377.38 is: 6,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.56 : 10,675.22 = 4,377.38 : x
  2. Step 2: Convert to fraction form
    7,734.56/10,675.22 = 4,377.38/x
  3. Step 3: Cross multiply
    7,734.56x = 10,675.22 × 4,377.38
  4. Step 4: Simplify right side
    7,734.56x = 46,729,419.26
  5. Step 5: Solve for x
    x = 46,729,419.26/7,734.56
  6. Step 6: Final answer
    x = 6,041.64

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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.