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Finding the Fourth Proportional to 11,600.64, 17,400.96 and 4,680

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Solution

The fourth proportional to 11,600.64, 17,400.96 and 4,680 is: 7,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.64 : 17,400.96 = 4,680 : x
  2. Step 2: Convert to fraction form
    11,600.64/17,400.96 = 4,680/x
  3. Step 3: Cross multiply
    11,600.64x = 17,400.96 × 4,680
  4. Step 4: Simplify right side
    11,600.64x = 81,436,492.80
  5. Step 5: Solve for x
    x = 81,436,492.80/11,600.64
  6. Step 6: Final answer
    x = 7,020

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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.