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Finding the Fourth Proportional to 8,425.60, 11,629.10 and 5,776.49

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Solution

The fourth proportional to 8,425.60, 11,629.10 and 5,776.49 is: 7,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.60 : 11,629.10 = 5,776.49 : x
  2. Step 2: Convert to fraction form
    8,425.60/11,629.10 = 5,776.49/x
  3. Step 3: Cross multiply
    8,425.60x = 11,629.10 × 5,776.49
  4. Step 4: Simplify right side
    8,425.60x = 67,175,350.98
  5. Step 5: Solve for x
    x = 67,175,350.98/8,425.60
  6. Step 6: Final answer
    x = 7,972.77

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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.