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Finding the Fourth Proportional to 10,956.69, 16,436.75 and 3,842.88

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Solution

The fourth proportional to 10,956.69, 16,436.75 and 3,842.88 is: 5,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.69 : 16,436.75 = 3,842.88 : x
  2. Step 2: Convert to fraction form
    10,956.69/16,436.75 = 3,842.88/x
  3. Step 3: Cross multiply
    10,956.69x = 16,436.75 × 3,842.88
  4. Step 4: Simplify right side
    10,956.69x = 63,164,438.63
  5. Step 5: Solve for x
    x = 63,164,438.63/10,956.69
  6. Step 6: Final answer
    x = 5,764.92

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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.