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Finding the Fourth Proportional to 10,728.96, 16,097.76 and 3,808.32

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Solution

The fourth proportional to 10,728.96, 16,097.76 and 3,808.32 is: 5,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.96 : 16,097.76 = 3,808.32 : x
  2. Step 2: Convert to fraction form
    10,728.96/16,097.76 = 3,808.32/x
  3. Step 3: Cross multiply
    10,728.96x = 16,097.76 × 3,808.32
  4. Step 4: Simplify right side
    10,728.96x = 61,305,421.36
  5. Step 5: Solve for x
    x = 61,305,421.36/10,728.96
  6. Step 6: Final answer
    x = 5,714.01

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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.