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Finding the Fourth Proportional to 7,540.16, 10,405.22 and 4,182.96

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Solution

The fourth proportional to 7,540.16, 10,405.22 and 4,182.96 is: 5,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.16 : 10,405.22 = 4,182.96 : x
  2. Step 2: Convert to fraction form
    7,540.16/10,405.22 = 4,182.96/x
  3. Step 3: Cross multiply
    7,540.16x = 10,405.22 × 4,182.96
  4. Step 4: Simplify right side
    7,540.16x = 43,524,598.14
  5. Step 5: Solve for x
    x = 43,524,598.14/7,540.16
  6. Step 6: Final answer
    x = 5,772.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.