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Finding the Fourth Proportional to 7,241.23, 10,880.07 and 4,609.93

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Solution

The fourth proportional to 7,241.23, 10,880.07 and 4,609.93 is: 6,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.23 : 10,880.07 = 4,609.93 : x
  2. Step 2: Convert to fraction form
    7,241.23/10,880.07 = 4,609.93/x
  3. Step 3: Cross multiply
    7,241.23x = 10,880.07 × 4,609.93
  4. Step 4: Simplify right side
    7,241.23x = 50,156,361.10
  5. Step 5: Solve for x
    x = 50,156,361.10/7,241.23
  6. Step 6: Final answer
    x = 6,926.50

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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.