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Finding the Fourth Proportional to 11,673.61, 16,109.57 and 6,368.42

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Solution

The fourth proportional to 11,673.61, 16,109.57 and 6,368.42 is: 8,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.61 : 16,109.57 = 6,368.42 : x
  2. Step 2: Convert to fraction form
    11,673.61/16,109.57 = 6,368.42/x
  3. Step 3: Cross multiply
    11,673.61x = 16,109.57 × 6,368.42
  4. Step 4: Simplify right side
    11,673.61x = 102,592,555.02
  5. Step 5: Solve for x
    x = 102,592,555.02/11,673.61
  6. Step 6: Final answer
    x = 8,788.42

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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.