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Finding the Fourth Proportional to 10,714.32, 16,072.16 and 3,318.15

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Solution

The fourth proportional to 10,714.32, 16,072.16 and 3,318.15 is: 4,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.32 : 16,072.16 = 3,318.15 : x
  2. Step 2: Convert to fraction form
    10,714.32/16,072.16 = 3,318.15/x
  3. Step 3: Cross multiply
    10,714.32x = 16,072.16 × 3,318.15
  4. Step 4: Simplify right side
    10,714.32x = 53,329,837.70
  5. Step 5: Solve for x
    x = 53,329,837.70/10,714.32
  6. Step 6: Final answer
    x = 4,977.44

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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.