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Finding the Fourth Proportional to 7,851.75, 10,835.12 and 4,266.56

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Solution

The fourth proportional to 7,851.75, 10,835.12 and 4,266.56 is: 5,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.75 : 10,835.12 = 4,266.56 : x
  2. Step 2: Convert to fraction form
    7,851.75/10,835.12 = 4,266.56/x
  3. Step 3: Cross multiply
    7,851.75x = 10,835.12 × 4,266.56
  4. Step 4: Simplify right side
    7,851.75x = 46,228,614.08
  5. Step 5: Solve for x
    x = 46,228,614.08/7,851.75
  6. Step 6: Final answer
    x = 5,887.68

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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.