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Finding the Fourth Proportional to 7,882.41, 10,878.20 and 4,525.23

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Solution

The fourth proportional to 7,882.41, 10,878.20 and 4,525.23 is: 6,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.41 : 10,878.20 = 4,525.23 : x
  2. Step 2: Convert to fraction form
    7,882.41/10,878.20 = 4,525.23/x
  3. Step 3: Cross multiply
    7,882.41x = 10,878.20 × 4,525.23
  4. Step 4: Simplify right side
    7,882.41x = 49,226,334.36
  5. Step 5: Solve for x
    x = 49,226,334.36/7,882.41
  6. Step 6: Final answer
    x = 6,245.09

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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.