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Finding the Fourth Proportional to 7,781.84, 10,738.97 and 4,245.12

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Solution

The fourth proportional to 7,781.84, 10,738.97 and 4,245.12 is: 5,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.84 : 10,738.97 = 4,245.12 : x
  2. Step 2: Convert to fraction form
    7,781.84/10,738.97 = 4,245.12/x
  3. Step 3: Cross multiply
    7,781.84x = 10,738.97 × 4,245.12
  4. Step 4: Simplify right side
    7,781.84x = 45,588,195.10
  5. Step 5: Solve for x
    x = 45,588,195.10/7,781.84
  6. Step 6: Final answer
    x = 5,858.28

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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.