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Finding the Fourth Proportional to 11,731.03, 16,188.86 and 6,426.14

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Solution

The fourth proportional to 11,731.03, 16,188.86 and 6,426.14 is: 8,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.03 : 16,188.86 = 6,426.14 : x
  2. Step 2: Convert to fraction form
    11,731.03/16,188.86 = 6,426.14/x
  3. Step 3: Cross multiply
    11,731.03x = 16,188.86 × 6,426.14
  4. Step 4: Simplify right side
    11,731.03x = 104,031,815.92
  5. Step 5: Solve for x
    x = 104,031,815.92/11,731.03
  6. Step 6: Final answer
    x = 8,868.09

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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.