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Finding the Fourth Proportional to 11,937.72, 17,868.42 and 7,981.32

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Solution

The fourth proportional to 11,937.72, 17,868.42 and 7,981.32 is: 11,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.72 : 17,868.42 = 7,981.32 : x
  2. Step 2: Convert to fraction form
    11,937.72/17,868.42 = 7,981.32/x
  3. Step 3: Cross multiply
    11,937.72x = 17,868.42 × 7,981.32
  4. Step 4: Simplify right side
    11,937.72x = 142,613,577.91
  5. Step 5: Solve for x
    x = 142,613,577.91/11,937.72
  6. Step 6: Final answer
    x = 11,946.47

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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.