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Finding the Fourth Proportional to 6,714.81, 10,072.31 and 2,332.37

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Solution

The fourth proportional to 6,714.81, 10,072.31 and 2,332.37 is: 3,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.81 : 10,072.31 = 2,332.37 : x
  2. Step 2: Convert to fraction form
    6,714.81/10,072.31 = 2,332.37/x
  3. Step 3: Cross multiply
    6,714.81x = 10,072.31 × 2,332.37
  4. Step 4: Simplify right side
    6,714.81x = 23,492,353.67
  5. Step 5: Solve for x
    x = 23,492,353.67/6,714.81
  6. Step 6: Final answer
    x = 3,498.59

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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.