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Finding the Fourth Proportional to 7,976.98, 11,008.47 and 4,619.80

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Solution

The fourth proportional to 7,976.98, 11,008.47 and 4,619.80 is: 6,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.98 : 11,008.47 = 4,619.80 : x
  2. Step 2: Convert to fraction form
    7,976.98/11,008.47 = 4,619.80/x
  3. Step 3: Cross multiply
    7,976.98x = 11,008.47 × 4,619.80
  4. Step 4: Simplify right side
    7,976.98x = 50,856,929.71
  5. Step 5: Solve for x
    x = 50,856,929.71/7,976.98
  6. Step 6: Final answer
    x = 6,375.46

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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.