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Finding the Fourth Proportional to 7,336, 11,004.09 and 2,719

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Solution

The fourth proportional to 7,336, 11,004.09 and 2,719 is: 4,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336 : 11,004.09 = 2,719 : x
  2. Step 2: Convert to fraction form
    7,336/11,004.09 = 2,719/x
  3. Step 3: Cross multiply
    7,336x = 11,004.09 × 2,719
  4. Step 4: Simplify right side
    7,336x = 29,920,120.71
  5. Step 5: Solve for x
    x = 29,920,120.71/7,336
  6. Step 6: Final answer
    x = 4,078.53

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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.