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Finding the Fourth Proportional to 11,309.60, 16,964.40 and 3,101.60

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Solution

The fourth proportional to 11,309.60, 16,964.40 and 3,101.60 is: 4,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.60 : 16,964.40 = 3,101.60 : x
  2. Step 2: Convert to fraction form
    11,309.60/16,964.40 = 3,101.60/x
  3. Step 3: Cross multiply
    11,309.60x = 16,964.40 × 3,101.60
  4. Step 4: Simplify right side
    11,309.60x = 52,616,783.04
  5. Step 5: Solve for x
    x = 52,616,783.04/11,309.60
  6. Step 6: Final answer
    x = 4,652.40

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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.