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Finding the Fourth Proportional to 10,956.80, 16,437.60 and 5,412.80

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Solution

The fourth proportional to 10,956.80, 16,437.60 and 5,412.80 is: 8,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.80 : 16,437.60 = 5,412.80 : x
  2. Step 2: Convert to fraction form
    10,956.80/16,437.60 = 5,412.80/x
  3. Step 3: Cross multiply
    10,956.80x = 16,437.60 × 5,412.80
  4. Step 4: Simplify right side
    10,956.80x = 88,973,441.28
  5. Step 5: Solve for x
    x = 88,973,441.28/10,956.80
  6. Step 6: Final answer
    x = 8,120.39

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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.