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Finding the Fourth Proportional to 11,680.64, 17,520.96 and 4,755.12

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Solution

The fourth proportional to 11,680.64, 17,520.96 and 4,755.12 is: 7,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.64 : 17,520.96 = 4,755.12 : x
  2. Step 2: Convert to fraction form
    11,680.64/17,520.96 = 4,755.12/x
  3. Step 3: Cross multiply
    11,680.64x = 17,520.96 × 4,755.12
  4. Step 4: Simplify right side
    11,680.64x = 83,314,267.32
  5. Step 5: Solve for x
    x = 83,314,267.32/11,680.64
  6. Step 6: Final answer
    x = 7,132.68

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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.