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Finding the Fourth Proportional to 7,803.42, 10,768.86 and 4,266.75

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Solution

The fourth proportional to 7,803.42, 10,768.86 and 4,266.75 is: 5,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.42 : 10,768.86 = 4,266.75 : x
  2. Step 2: Convert to fraction form
    7,803.42/10,768.86 = 4,266.75/x
  3. Step 3: Cross multiply
    7,803.42x = 10,768.86 × 4,266.75
  4. Step 4: Simplify right side
    7,803.42x = 45,948,033.41
  5. Step 5: Solve for x
    x = 45,948,033.41/7,803.42
  6. Step 6: Final answer
    x = 5,888.19

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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.