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Finding the Fourth Proportional to 11,612.56, 17,425.76 and 4,217.60

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Solution

The fourth proportional to 11,612.56, 17,425.76 and 4,217.60 is: 6,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.56 : 17,425.76 = 4,217.60 : x
  2. Step 2: Convert to fraction form
    11,612.56/17,425.76 = 4,217.60/x
  3. Step 3: Cross multiply
    11,612.56x = 17,425.76 × 4,217.60
  4. Step 4: Simplify right side
    11,612.56x = 73,494,885.38
  5. Step 5: Solve for x
    x = 73,494,885.38/11,612.56
  6. Step 6: Final answer
    x = 6,328.91

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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.