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Finding the Fourth Proportional to 7,823.55, 10,796.76 and 4,286.76

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Solution

The fourth proportional to 7,823.55, 10,796.76 and 4,286.76 is: 5,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.55 : 10,796.76 = 4,286.76 : x
  2. Step 2: Convert to fraction form
    7,823.55/10,796.76 = 4,286.76/x
  3. Step 3: Cross multiply
    7,823.55x = 10,796.76 × 4,286.76
  4. Step 4: Simplify right side
    7,823.55x = 46,283,118.90
  5. Step 5: Solve for x
    x = 46,283,118.90/7,823.55
  6. Step 6: Final answer
    x = 5,915.87

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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.