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Finding the Fourth Proportional to 6,907.92, 10,357.56 and 3,207.84

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Solution

The fourth proportional to 6,907.92, 10,357.56 and 3,207.84 is: 4,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.92 : 10,357.56 = 3,207.84 : x
  2. Step 2: Convert to fraction form
    6,907.92/10,357.56 = 3,207.84/x
  3. Step 3: Cross multiply
    6,907.92x = 10,357.56 × 3,207.84
  4. Step 4: Simplify right side
    6,907.92x = 33,225,395.27
  5. Step 5: Solve for x
    x = 33,225,395.27/6,907.92
  6. Step 6: Final answer
    x = 4,809.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.