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Finding the Fourth Proportional to 7,201.50, 10,802.26 and 2,007.52

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Solution

The fourth proportional to 7,201.50, 10,802.26 and 2,007.52 is: 3,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.50 : 10,802.26 = 2,007.52 : x
  2. Step 2: Convert to fraction form
    7,201.50/10,802.26 = 2,007.52/x
  3. Step 3: Cross multiply
    7,201.50x = 10,802.26 × 2,007.52
  4. Step 4: Simplify right side
    7,201.50x = 21,685,753.00
  5. Step 5: Solve for x
    x = 21,685,753.00/7,201.50
  6. Step 6: Final answer
    x = 3,011.28

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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.