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Finding the Fourth Proportional to 8,419.68, 11,623.14 and 4,882.23

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Solution

The fourth proportional to 8,419.68, 11,623.14 and 4,882.23 is: 6,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.68 : 11,623.14 = 4,882.23 : x
  2. Step 2: Convert to fraction form
    8,419.68/11,623.14 = 4,882.23/x
  3. Step 3: Cross multiply
    8,419.68x = 11,623.14 × 4,882.23
  4. Step 4: Simplify right side
    8,419.68x = 56,746,842.80
  5. Step 5: Solve for x
    x = 56,746,842.80/8,419.68
  6. Step 6: Final answer
    x = 6,739.79

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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.