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Finding the Fourth Proportional to 7,289.60, 10,941.21 and 3,342.97

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Solution

The fourth proportional to 7,289.60, 10,941.21 and 3,342.97 is: 5,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.60 : 10,941.21 = 3,342.97 : x
  2. Step 2: Convert to fraction form
    7,289.60/10,941.21 = 3,342.97/x
  3. Step 3: Cross multiply
    7,289.60x = 10,941.21 × 3,342.97
  4. Step 4: Simplify right side
    7,289.60x = 36,576,150.47
  5. Step 5: Solve for x
    x = 36,576,150.47/7,289.60
  6. Step 6: Final answer
    x = 5,017.58

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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.