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Finding the Fourth Proportional to 7,203.32, 10,804.94 and 2,009

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Solution

The fourth proportional to 7,203.32, 10,804.94 and 2,009 is: 3,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.32 : 10,804.94 = 2,009 : x
  2. Step 2: Convert to fraction form
    7,203.32/10,804.94 = 2,009/x
  3. Step 3: Cross multiply
    7,203.32x = 10,804.94 × 2,009
  4. Step 4: Simplify right side
    7,203.32x = 21,707,124.46
  5. Step 5: Solve for x
    x = 21,707,124.46/7,203.32
  6. Step 6: Final answer
    x = 3,013.49

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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.