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Finding the Fourth Proportional to 11,886.45, 16,398.61 and 7,636.87

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Solution

The fourth proportional to 11,886.45, 16,398.61 and 7,636.87 is: 10,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.45 : 16,398.61 = 7,636.87 : x
  2. Step 2: Convert to fraction form
    11,886.45/16,398.61 = 7,636.87/x
  3. Step 3: Cross multiply
    11,886.45x = 16,398.61 × 7,636.87
  4. Step 4: Simplify right side
    11,886.45x = 125,234,052.75
  5. Step 5: Solve for x
    x = 125,234,052.75/11,886.45
  6. Step 6: Final answer
    x = 10,535.87

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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.