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Finding the Fourth Proportional to 7,341, 11,011.60 and 2,724

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Solution

The fourth proportional to 7,341, 11,011.60 and 2,724 is: 4,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341 : 11,011.60 = 2,724 : x
  2. Step 2: Convert to fraction form
    7,341/11,011.60 = 2,724/x
  3. Step 3: Cross multiply
    7,341x = 11,011.60 × 2,724
  4. Step 4: Simplify right side
    7,341x = 29,995,598.40
  5. Step 5: Solve for x
    x = 29,995,598.40/7,341
  6. Step 6: Final answer
    x = 4,086.04

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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.