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Finding the Fourth Proportional to 7,794.39, 10,756.26 and 4,257.63

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Solution

The fourth proportional to 7,794.39, 10,756.26 and 4,257.63 is: 5,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.39 : 10,756.26 = 4,257.63 : x
  2. Step 2: Convert to fraction form
    7,794.39/10,756.26 = 4,257.63/x
  3. Step 3: Cross multiply
    7,794.39x = 10,756.26 × 4,257.63
  4. Step 4: Simplify right side
    7,794.39x = 45,796,175.26
  5. Step 5: Solve for x
    x = 45,796,175.26/7,794.39
  6. Step 6: Final answer
    x = 5,875.53

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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.