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Finding the Fourth Proportional to 7,857.66, 11,771.04 and 4,563.84

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Solution

The fourth proportional to 7,857.66, 11,771.04 and 4,563.84 is: 6,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.66 : 11,771.04 = 4,563.84 : x
  2. Step 2: Convert to fraction form
    7,857.66/11,771.04 = 4,563.84/x
  3. Step 3: Cross multiply
    7,857.66x = 11,771.04 × 4,563.84
  4. Step 4: Simplify right side
    7,857.66x = 53,721,143.19
  5. Step 5: Solve for x
    x = 53,721,143.19/7,857.66
  6. Step 6: Final answer
    x = 6,836.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.