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Finding the Fourth Proportional to 11,633.97, 16,054.69 and 6,328.66

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Solution

The fourth proportional to 11,633.97, 16,054.69 and 6,328.66 is: 8,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.97 : 16,054.69 = 6,328.66 : x
  2. Step 2: Convert to fraction form
    11,633.97/16,054.69 = 6,328.66/x
  3. Step 3: Cross multiply
    11,633.97x = 16,054.69 × 6,328.66
  4. Step 4: Simplify right side
    11,633.97x = 101,604,674.42
  5. Step 5: Solve for x
    x = 101,604,674.42/11,633.97
  6. Step 6: Final answer
    x = 8,733.45

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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.