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Finding the Fourth Proportional to 11,751.10, 16,215.49 and 6,714.31

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Solution

The fourth proportional to 11,751.10, 16,215.49 and 6,714.31 is: 9,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.10 : 16,215.49 = 6,714.31 : x
  2. Step 2: Convert to fraction form
    11,751.10/16,215.49 = 6,714.31/x
  3. Step 3: Cross multiply
    11,751.10x = 16,215.49 × 6,714.31
  4. Step 4: Simplify right side
    11,751.10x = 108,875,826.66
  5. Step 5: Solve for x
    x = 108,875,826.66/11,751.10
  6. Step 6: Final answer
    x = 9,265.16

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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.