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Finding the Fourth Proportional to 7,823.61, 10,796.90 and 4,286.84

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Solution

The fourth proportional to 7,823.61, 10,796.90 and 4,286.84 is: 5,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.61 : 10,796.90 = 4,286.84 : x
  2. Step 2: Convert to fraction form
    7,823.61/10,796.90 = 4,286.84/x
  3. Step 3: Cross multiply
    7,823.61x = 10,796.90 × 4,286.84
  4. Step 4: Simplify right side
    7,823.61x = 46,284,582.80
  5. Step 5: Solve for x
    x = 46,284,582.80/7,823.61
  6. Step 6: Final answer
    x = 5,916.01

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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.