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Finding the Fourth Proportional to 8,378.82, 11,564.46 and 4,841.55

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Solution

The fourth proportional to 8,378.82, 11,564.46 and 4,841.55 is: 6,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.82 : 11,564.46 = 4,841.55 : x
  2. Step 2: Convert to fraction form
    8,378.82/11,564.46 = 4,841.55/x
  3. Step 3: Cross multiply
    8,378.82x = 11,564.46 × 4,841.55
  4. Step 4: Simplify right side
    8,378.82x = 55,989,911.31
  5. Step 5: Solve for x
    x = 55,989,911.31/8,378.82
  6. Step 6: Final answer
    x = 6,682.31

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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.