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Finding the Fourth Proportional to 10,585.08, 15,910.43 and 6,714.09

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Solution

The fourth proportional to 10,585.08, 15,910.43 and 6,714.09 is: 10,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.08 : 15,910.43 = 6,714.09 : x
  2. Step 2: Convert to fraction form
    10,585.08/15,910.43 = 6,714.09/x
  3. Step 3: Cross multiply
    10,585.08x = 15,910.43 × 6,714.09
  4. Step 4: Simplify right side
    10,585.08x = 106,824,025.39
  5. Step 5: Solve for x
    x = 106,824,025.39/10,585.08
  6. Step 6: Final answer
    x = 10,091.94

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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.