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Finding the Fourth Proportional to 11,233.80, 16,858.80 and 6,298.20

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Solution

The fourth proportional to 11,233.80, 16,858.80 and 6,298.20 is: 9,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.80 : 16,858.80 = 6,298.20 : x
  2. Step 2: Convert to fraction form
    11,233.80/16,858.80 = 6,298.20/x
  3. Step 3: Cross multiply
    11,233.80x = 16,858.80 × 6,298.20
  4. Step 4: Simplify right side
    11,233.80x = 106,180,094.16
  5. Step 5: Solve for x
    x = 106,180,094.16/11,233.80
  6. Step 6: Final answer
    x = 9,451.84

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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.