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Finding the Fourth Proportional to 7,447.45, 10,282.29 and 4,617.83

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Solution

The fourth proportional to 7,447.45, 10,282.29 and 4,617.83 is: 6,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.45 : 10,282.29 = 4,617.83 : x
  2. Step 2: Convert to fraction form
    7,447.45/10,282.29 = 4,617.83/x
  3. Step 3: Cross multiply
    7,447.45x = 10,282.29 × 4,617.83
  4. Step 4: Simplify right side
    7,447.45x = 47,481,867.23
  5. Step 5: Solve for x
    x = 47,481,867.23/7,447.45
  6. Step 6: Final answer
    x = 6,375.59

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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.