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Finding the Fourth Proportional to 11,904.96, 17,833.21 and 7,732.32

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Solution

The fourth proportional to 11,904.96, 17,833.21 and 7,732.32 is: 11,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.96 : 17,833.21 = 7,732.32 : x
  2. Step 2: Convert to fraction form
    11,904.96/17,833.21 = 7,732.32/x
  3. Step 3: Cross multiply
    11,904.96x = 17,833.21 × 7,732.32
  4. Step 4: Simplify right side
    11,904.96x = 137,892,086.35
  5. Step 5: Solve for x
    x = 137,892,086.35/11,904.96
  6. Step 6: Final answer
    x = 11,582.74

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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.