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Finding the Fourth Proportional to 7,741.79, 10,678.22 and 4,759.26

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Solution

The fourth proportional to 7,741.79, 10,678.22 and 4,759.26 is: 6,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.79 : 10,678.22 = 4,759.26 : x
  2. Step 2: Convert to fraction form
    7,741.79/10,678.22 = 4,759.26/x
  3. Step 3: Cross multiply
    7,741.79x = 10,678.22 × 4,759.26
  4. Step 4: Simplify right side
    7,741.79x = 50,820,425.32
  5. Step 5: Solve for x
    x = 50,820,425.32/7,741.79
  6. Step 6: Final answer
    x = 6,564.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.