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Finding the Fourth Proportional to 6,804.40, 10,212.06 and 3,518.45

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Solution

The fourth proportional to 6,804.40, 10,212.06 and 3,518.45 is: 5,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.40 : 10,212.06 = 3,518.45 : x
  2. Step 2: Convert to fraction form
    6,804.40/10,212.06 = 3,518.45/x
  3. Step 3: Cross multiply
    6,804.40x = 10,212.06 × 3,518.45
  4. Step 4: Simplify right side
    6,804.40x = 35,930,622.51
  5. Step 5: Solve for x
    x = 35,930,622.51/6,804.40
  6. Step 6: Final answer
    x = 5,280.50

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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.