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Finding the Fourth Proportional to 8,054.11, 11,125.31 and 6,714.09

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Solution

The fourth proportional to 8,054.11, 11,125.31 and 6,714.09 is: 9,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.11 : 11,125.31 = 6,714.09 : x
  2. Step 2: Convert to fraction form
    8,054.11/11,125.31 = 6,714.09/x
  3. Step 3: Cross multiply
    8,054.11x = 11,125.31 × 6,714.09
  4. Step 4: Simplify right side
    8,054.11x = 74,696,377.22
  5. Step 5: Solve for x
    x = 74,696,377.22/8,054.11
  6. Step 6: Final answer
    x = 9,274.32

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Why These Related Problems?

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