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Finding the Fourth Proportional to 10,886.40, 16,319.72 and 3,956

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Solution

The fourth proportional to 10,886.40, 16,319.72 and 3,956 is: 5,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.40 : 16,319.72 = 3,956 : x
  2. Step 2: Convert to fraction form
    10,886.40/16,319.72 = 3,956/x
  3. Step 3: Cross multiply
    10,886.40x = 16,319.72 × 3,956
  4. Step 4: Simplify right side
    10,886.40x = 64,560,812.32
  5. Step 5: Solve for x
    x = 64,560,812.32/10,886.40
  6. Step 6: Final answer
    x = 5,930.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.