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Finding the Fourth Proportional to 11,673.74, 16,110.16 and 6,368.84

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Solution

The fourth proportional to 11,673.74, 16,110.16 and 6,368.84 is: 8,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.74 : 16,110.16 = 6,368.84 : x
  2. Step 2: Convert to fraction form
    11,673.74/16,110.16 = 6,368.84/x
  3. Step 3: Cross multiply
    11,673.74x = 16,110.16 × 6,368.84
  4. Step 4: Simplify right side
    11,673.74x = 102,603,031.41
  5. Step 5: Solve for x
    x = 102,603,031.41/11,673.74
  6. Step 6: Final answer
    x = 8,789.22

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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.