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Finding the Fourth Proportional to 12,527.85, 18,791.78 and 5,130.97

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Solution

The fourth proportional to 12,527.85, 18,791.78 and 5,130.97 is: 7,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.85 : 18,791.78 = 5,130.97 : x
  2. Step 2: Convert to fraction form
    12,527.85/18,791.78 = 5,130.97/x
  3. Step 3: Cross multiply
    12,527.85x = 18,791.78 × 5,130.97
  4. Step 4: Simplify right side
    12,527.85x = 96,420,059.43
  5. Step 5: Solve for x
    x = 96,420,059.43/12,527.85
  6. Step 6: Final answer
    x = 7,696.46

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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.