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Finding the Fourth Proportional to 7,262.74, 10,023.42 and 4,119.50

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Solution

The fourth proportional to 7,262.74, 10,023.42 and 4,119.50 is: 5,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.74 : 10,023.42 = 4,119.50 : x
  2. Step 2: Convert to fraction form
    7,262.74/10,023.42 = 4,119.50/x
  3. Step 3: Cross multiply
    7,262.74x = 10,023.42 × 4,119.50
  4. Step 4: Simplify right side
    7,262.74x = 41,291,478.69
  5. Step 5: Solve for x
    x = 41,291,478.69/7,262.74
  6. Step 6: Final answer
    x = 5,685.39

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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.