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Finding the Fourth Proportional to 7,362.35, 11,044.14 and 3,202.50

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Solution

The fourth proportional to 7,362.35, 11,044.14 and 3,202.50 is: 4,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.35 : 11,044.14 = 3,202.50 : x
  2. Step 2: Convert to fraction form
    7,362.35/11,044.14 = 3,202.50/x
  3. Step 3: Cross multiply
    7,362.35x = 11,044.14 × 3,202.50
  4. Step 4: Simplify right side
    7,362.35x = 35,368,858.35
  5. Step 5: Solve for x
    x = 35,368,858.35/7,362.35
  6. Step 6: Final answer
    x = 4,804.02

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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.