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Finding the Fourth Proportional to 7,405.74, 10,200.72 and 5,163.60

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Solution

The fourth proportional to 7,405.74, 10,200.72 and 5,163.60 is: 7,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.74 : 10,200.72 = 5,163.60 : x
  2. Step 2: Convert to fraction form
    7,405.74/10,200.72 = 5,163.60/x
  3. Step 3: Cross multiply
    7,405.74x = 10,200.72 × 5,163.60
  4. Step 4: Simplify right side
    7,405.74x = 52,672,437.79
  5. Step 5: Solve for x
    x = 52,672,437.79/7,405.74
  6. Step 6: Final answer
    x = 7,112.38

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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.