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Finding the Fourth Proportional to 7,419.80, 10,239.44 and 4,062.56

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Solution

The fourth proportional to 7,419.80, 10,239.44 and 4,062.56 is: 5,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.80 : 10,239.44 = 4,062.56 : x
  2. Step 2: Convert to fraction form
    7,419.80/10,239.44 = 4,062.56/x
  3. Step 3: Cross multiply
    7,419.80x = 10,239.44 × 4,062.56
  4. Step 4: Simplify right side
    7,419.80x = 41,598,267.86
  5. Step 5: Solve for x
    x = 41,598,267.86/7,419.80
  6. Step 6: Final answer
    x = 5,606.39

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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.