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Finding the Fourth Proportional to 7,680.90, 10,596.87 and 5,029.82

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Solution

The fourth proportional to 7,680.90, 10,596.87 and 5,029.82 is: 6,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.90 : 10,596.87 = 5,029.82 : x
  2. Step 2: Convert to fraction form
    7,680.90/10,596.87 = 5,029.82/x
  3. Step 3: Cross multiply
    7,680.90x = 10,596.87 × 5,029.82
  4. Step 4: Simplify right side
    7,680.90x = 53,300,348.66
  5. Step 5: Solve for x
    x = 53,300,348.66/7,680.90
  6. Step 6: Final answer
    x = 6,939.34

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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.