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Finding the Fourth Proportional to 11,633.74, 16,054.90 and 6,328.91

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Solution

The fourth proportional to 11,633.74, 16,054.90 and 6,328.91 is: 8,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.74 : 16,054.90 = 6,328.91 : x
  2. Step 2: Convert to fraction form
    11,633.74/16,054.90 = 6,328.91/x
  3. Step 3: Cross multiply
    11,633.74x = 16,054.90 × 6,328.91
  4. Step 4: Simplify right side
    11,633.74x = 101,610,041.47
  5. Step 5: Solve for x
    x = 101,610,041.47/11,633.74
  6. Step 6: Final answer
    x = 8,734.08

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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.