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Finding the Fourth Proportional to 11,674.06, 16,109.99 and 6,368.86

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Solution

The fourth proportional to 11,674.06, 16,109.99 and 6,368.86 is: 8,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.06 : 16,109.99 = 6,368.86 : x
  2. Step 2: Convert to fraction form
    11,674.06/16,109.99 = 6,368.86/x
  3. Step 3: Cross multiply
    11,674.06x = 16,109.99 × 6,368.86
  4. Step 4: Simplify right side
    11,674.06x = 102,602,283.09
  5. Step 5: Solve for x
    x = 102,602,283.09/11,674.06
  6. Step 6: Final answer
    x = 8,788.91

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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.