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Finding the Fourth Proportional to 11,852.61, 16,355.97 and 6,816.03

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Solution

The fourth proportional to 11,852.61, 16,355.97 and 6,816.03 is: 9,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.61 : 16,355.97 = 6,816.03 : x
  2. Step 2: Convert to fraction form
    11,852.61/16,355.97 = 6,816.03/x
  3. Step 3: Cross multiply
    11,852.61x = 16,355.97 × 6,816.03
  4. Step 4: Simplify right side
    11,852.61x = 111,482,782.20
  5. Step 5: Solve for x
    x = 111,482,782.20/11,852.61
  6. Step 6: Final answer
    x = 9,405.76

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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.