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Finding the Fourth Proportional to 10,714.50, 14,791.59 and 6,682.59

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Solution

The fourth proportional to 10,714.50, 14,791.59 and 6,682.59 is: 9,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.50 : 14,791.59 = 6,682.59 : x
  2. Step 2: Convert to fraction form
    10,714.50/14,791.59 = 6,682.59/x
  3. Step 3: Cross multiply
    10,714.50x = 14,791.59 × 6,682.59
  4. Step 4: Simplify right side
    10,714.50x = 98,846,131.42
  5. Step 5: Solve for x
    x = 98,846,131.42/10,714.50
  6. Step 6: Final answer
    x = 9,225.45

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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.