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Finding the Fourth Proportional to 7,803.14, 10,767.87 and 4,266.27

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Solution

The fourth proportional to 7,803.14, 10,767.87 and 4,266.27 is: 5,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.14 : 10,767.87 = 4,266.27 : x
  2. Step 2: Convert to fraction form
    7,803.14/10,767.87 = 4,266.27/x
  3. Step 3: Cross multiply
    7,803.14x = 10,767.87 × 4,266.27
  4. Step 4: Simplify right side
    7,803.14x = 45,938,640.74
  5. Step 5: Solve for x
    x = 45,938,640.74/7,803.14
  6. Step 6: Final answer
    x = 5,887.20

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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.