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Finding the Fourth Proportional to 11,965.61, 16,511.90 and 6,929.43

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Solution

The fourth proportional to 11,965.61, 16,511.90 and 6,929.43 is: 9,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.61 : 16,511.90 = 6,929.43 : x
  2. Step 2: Convert to fraction form
    11,965.61/16,511.90 = 6,929.43/x
  3. Step 3: Cross multiply
    11,965.61x = 16,511.90 × 6,929.43
  4. Step 4: Simplify right side
    11,965.61x = 114,418,020.57
  5. Step 5: Solve for x
    x = 114,418,020.57/11,965.61
  6. Step 6: Final answer
    x = 9,562.24

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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.