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Finding the Fourth Proportional to 11,970.56, 17,960.16 and 4,180.52

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Solution

The fourth proportional to 11,970.56, 17,960.16 and 4,180.52 is: 6,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.56 : 17,960.16 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    11,970.56/17,960.16 = 4,180.52/x
  3. Step 3: Cross multiply
    11,970.56x = 17,960.16 × 4,180.52
  4. Step 4: Simplify right side
    11,970.56x = 75,082,808.08
  5. Step 5: Solve for x
    x = 75,082,808.08/11,970.56
  6. Step 6: Final answer
    x = 6,272.29

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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.