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Finding the Fourth Proportional to 8,657.23, 11,946.94 and 4,678.33

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Solution

The fourth proportional to 8,657.23, 11,946.94 and 4,678.33 is: 6,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.23 : 11,946.94 = 4,678.33 : x
  2. Step 2: Convert to fraction form
    8,657.23/11,946.94 = 4,678.33/x
  3. Step 3: Cross multiply
    8,657.23x = 11,946.94 × 4,678.33
  4. Step 4: Simplify right side
    8,657.23x = 55,891,708.65
  5. Step 5: Solve for x
    x = 55,891,708.65/8,657.23
  6. Step 6: Final answer
    x = 6,456.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.