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Finding the Fourth Proportional to 7,815.88, 10,786.26 and 4,672

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Solution

The fourth proportional to 7,815.88, 10,786.26 and 4,672 is: 6,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.88 : 10,786.26 = 4,672 : x
  2. Step 2: Convert to fraction form
    7,815.88/10,786.26 = 4,672/x
  3. Step 3: Cross multiply
    7,815.88x = 10,786.26 × 4,672
  4. Step 4: Simplify right side
    7,815.88x = 50,393,406.72
  5. Step 5: Solve for x
    x = 50,393,406.72/7,815.88
  6. Step 6: Final answer
    x = 6,447.57

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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.