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Finding the Fourth Proportional to 11,376.16, 17,068.64 and 3,981.44

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Solution

The fourth proportional to 11,376.16, 17,068.64 and 3,981.44 is: 5,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.16 : 17,068.64 = 3,981.44 : x
  2. Step 2: Convert to fraction form
    11,376.16/17,068.64 = 3,981.44/x
  3. Step 3: Cross multiply
    11,376.16x = 17,068.64 × 3,981.44
  4. Step 4: Simplify right side
    11,376.16x = 67,957,766.04
  5. Step 5: Solve for x
    x = 67,957,766.04/11,376.16
  6. Step 6: Final answer
    x = 5,973.70

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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.