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Finding the Fourth Proportional to 11,714.56, 16,160.04 and 7,937.92

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Solution

The fourth proportional to 11,714.56, 16,160.04 and 7,937.92 is: 10,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.56 : 16,160.04 = 7,937.92 : x
  2. Step 2: Convert to fraction form
    11,714.56/16,160.04 = 7,937.92/x
  3. Step 3: Cross multiply
    11,714.56x = 16,160.04 × 7,937.92
  4. Step 4: Simplify right side
    11,714.56x = 128,277,104.72
  5. Step 5: Solve for x
    x = 128,277,104.72/11,714.56
  6. Step 6: Final answer
    x = 10,950.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.