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Finding the Fourth Proportional to 7,365, 11,048.04 and 2,748

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Solution

The fourth proportional to 7,365, 11,048.04 and 2,748 is: 4,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 11,048.04 = 2,748 : x
  2. Step 2: Convert to fraction form
    7,365/11,048.04 = 2,748/x
  3. Step 3: Cross multiply
    7,365x = 11,048.04 × 2,748
  4. Step 4: Simplify right side
    7,365x = 30,360,013.92
  5. Step 5: Solve for x
    x = 30,360,013.92/7,365
  6. Step 6: Final answer
    x = 4,122.20

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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.