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Finding the Fourth Proportional to 7,205.48, 10,796.28 and 3,301.28

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Solution

The fourth proportional to 7,205.48, 10,796.28 and 3,301.28 is: 4,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.48 : 10,796.28 = 3,301.28 : x
  2. Step 2: Convert to fraction form
    7,205.48/10,796.28 = 3,301.28/x
  3. Step 3: Cross multiply
    7,205.48x = 10,796.28 × 3,301.28
  4. Step 4: Simplify right side
    7,205.48x = 35,641,543.24
  5. Step 5: Solve for x
    x = 35,641,543.24/7,205.48
  6. Step 6: Final answer
    x = 4,946.45

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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.