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Finding the Fourth Proportional to 11,633.30, 16,054.14 and 6,328.14

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Solution

The fourth proportional to 11,633.30, 16,054.14 and 6,328.14 is: 8,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.30 : 16,054.14 = 6,328.14 : x
  2. Step 2: Convert to fraction form
    11,633.30/16,054.14 = 6,328.14/x
  3. Step 3: Cross multiply
    11,633.30x = 16,054.14 × 6,328.14
  4. Step 4: Simplify right side
    11,633.30x = 101,592,845.50
  5. Step 5: Solve for x
    x = 101,592,845.50/11,633.30
  6. Step 6: Final answer
    x = 8,732.94

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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.