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Finding the Fourth Proportional to 7,716.29, 10,648.44 and 4,179.42

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Solution

The fourth proportional to 7,716.29, 10,648.44 and 4,179.42 is: 5,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.29 : 10,648.44 = 4,179.42 : x
  2. Step 2: Convert to fraction form
    7,716.29/10,648.44 = 4,179.42/x
  3. Step 3: Cross multiply
    7,716.29x = 10,648.44 × 4,179.42
  4. Step 4: Simplify right side
    7,716.29x = 44,504,303.10
  5. Step 5: Solve for x
    x = 44,504,303.10/7,716.29
  6. Step 6: Final answer
    x = 5,767.58

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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.