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Finding the Fourth Proportional to 7,815.64, 10,786.22 and 4,672.44

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Solution

The fourth proportional to 7,815.64, 10,786.22 and 4,672.44 is: 6,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.64 : 10,786.22 = 4,672.44 : x
  2. Step 2: Convert to fraction form
    7,815.64/10,786.22 = 4,672.44/x
  3. Step 3: Cross multiply
    7,815.64x = 10,786.22 × 4,672.44
  4. Step 4: Simplify right side
    7,815.64x = 50,397,965.78
  5. Step 5: Solve for x
    x = 50,397,965.78/7,815.64
  6. Step 6: Final answer
    x = 6,448.35

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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.