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Finding the Fourth Proportional to 10,714.40, 14,785.44 and 6,238.28

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Solution

The fourth proportional to 10,714.40, 14,785.44 and 6,238.28 is: 8,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.40 : 14,785.44 = 6,238.28 : x
  2. Step 2: Convert to fraction form
    10,714.40/14,785.44 = 6,238.28/x
  3. Step 3: Cross multiply
    10,714.40x = 14,785.44 × 6,238.28
  4. Step 4: Simplify right side
    10,714.40x = 92,235,714.64
  5. Step 5: Solve for x
    x = 92,235,714.64/10,714.40
  6. Step 6: Final answer
    x = 8,608.57

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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.