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Finding the Fourth Proportional to 7,954.56, 11,952 and 5,034.24

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Solution

The fourth proportional to 7,954.56, 11,952 and 5,034.24 is: 7,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.56 : 11,952 = 5,034.24 : x
  2. Step 2: Convert to fraction form
    7,954.56/11,952 = 5,034.24/x
  3. Step 3: Cross multiply
    7,954.56x = 11,952 × 5,034.24
  4. Step 4: Simplify right side
    7,954.56x = 60,169,236.48
  5. Step 5: Solve for x
    x = 60,169,236.48/7,954.56
  6. Step 6: Final answer
    x = 7,564.12

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Why These Related Problems?

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