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Finding the Fourth Proportional to 11,441.00, 15,786.50 and 6,405.30

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Solution

The fourth proportional to 11,441.00, 15,786.50 and 6,405.30 is: 8,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.00 : 15,786.50 = 6,405.30 : x
  2. Step 2: Convert to fraction form
    11,441.00/15,786.50 = 6,405.30/x
  3. Step 3: Cross multiply
    11,441.00x = 15,786.50 × 6,405.30
  4. Step 4: Simplify right side
    11,441.00x = 101,117,236.42
  5. Step 5: Solve for x
    x = 101,117,236.42/11,441.00
  6. Step 6: Final answer
    x = 8,838.14

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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.