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Finding the Fourth Proportional to 11,959.56, 17,946.90 and 4,564.80

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Solution

The fourth proportional to 11,959.56, 17,946.90 and 4,564.80 is: 6,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.56 : 17,946.90 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    11,959.56/17,946.90 = 4,564.80/x
  3. Step 3: Cross multiply
    11,959.56x = 17,946.90 × 4,564.80
  4. Step 4: Simplify right side
    11,959.56x = 81,924,009.12
  5. Step 5: Solve for x
    x = 81,924,009.12/11,959.56
  6. Step 6: Final answer
    x = 6,850.09

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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.