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Finding the Fourth Proportional to 7,294.24, 10,941.24 and 2,100.10

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Solution

The fourth proportional to 7,294.24, 10,941.24 and 2,100.10 is: 3,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.24 : 10,941.24 = 2,100.10 : x
  2. Step 2: Convert to fraction form
    7,294.24/10,941.24 = 2,100.10/x
  3. Step 3: Cross multiply
    7,294.24x = 10,941.24 × 2,100.10
  4. Step 4: Simplify right side
    7,294.24x = 22,977,698.12
  5. Step 5: Solve for x
    x = 22,977,698.12/7,294.24
  6. Step 6: Final answer
    x = 3,150.12

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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.