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Finding the Fourth Proportional to 10,609.56, 15,914.62 and 5,926.96

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Solution

The fourth proportional to 10,609.56, 15,914.62 and 5,926.96 is: 8,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.56 : 15,914.62 = 5,926.96 : x
  2. Step 2: Convert to fraction form
    10,609.56/15,914.62 = 5,926.96/x
  3. Step 3: Cross multiply
    10,609.56x = 15,914.62 × 5,926.96
  4. Step 4: Simplify right side
    10,609.56x = 94,325,316.16
  5. Step 5: Solve for x
    x = 94,325,316.16/10,609.56
  6. Step 6: Final answer
    x = 8,890.60

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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.