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Finding the Fourth Proportional to 7,628.70, 11,429.96 and 6,858.33

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Solution

The fourth proportional to 7,628.70, 11,429.96 and 6,858.33 is: 10,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.70 : 11,429.96 = 6,858.33 : x
  2. Step 2: Convert to fraction form
    7,628.70/11,429.96 = 6,858.33/x
  3. Step 3: Cross multiply
    7,628.70x = 11,429.96 × 6,858.33
  4. Step 4: Simplify right side
    7,628.70x = 78,390,437.57
  5. Step 5: Solve for x
    x = 78,390,437.57/7,628.70
  6. Step 6: Final answer
    x = 10,275.73

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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.