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Finding the Fourth Proportional to 7,768.35, 10,720.34 and 4,231.58

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Solution

The fourth proportional to 7,768.35, 10,720.34 and 4,231.58 is: 5,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.35 : 10,720.34 = 4,231.58 : x
  2. Step 2: Convert to fraction form
    7,768.35/10,720.34 = 4,231.58/x
  3. Step 3: Cross multiply
    7,768.35x = 10,720.34 × 4,231.58
  4. Step 4: Simplify right side
    7,768.35x = 45,363,922.74
  5. Step 5: Solve for x
    x = 45,363,922.74/7,768.35
  6. Step 6: Final answer
    x = 5,839.58

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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.