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Finding the Fourth Proportional to 11,909.96, 16,431.96 and 6,873.51

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Solution

The fourth proportional to 11,909.96, 16,431.96 and 6,873.51 is: 9,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.96 : 16,431.96 = 6,873.51 : x
  2. Step 2: Convert to fraction form
    11,909.96/16,431.96 = 6,873.51/x
  3. Step 3: Cross multiply
    11,909.96x = 16,431.96 × 6,873.51
  4. Step 4: Simplify right side
    11,909.96x = 112,945,328.78
  5. Step 5: Solve for x
    x = 112,945,328.78/11,909.96
  6. Step 6: Final answer
    x = 9,483.27

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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.