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Finding the Fourth Proportional to 10,976, 16,464.18 and 3,185.60

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Solution

The fourth proportional to 10,976, 16,464.18 and 3,185.60 is: 4,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 16,464.18 = 3,185.60 : x
  2. Step 2: Convert to fraction form
    10,976/16,464.18 = 3,185.60/x
  3. Step 3: Cross multiply
    10,976x = 16,464.18 × 3,185.60
  4. Step 4: Simplify right side
    10,976x = 52,448,291.81
  5. Step 5: Solve for x
    x = 52,448,291.81/10,976
  6. Step 6: Final answer
    x = 4,778.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.