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Finding the Fourth Proportional to 10,325.50, 14,249.12 and 5,609.78

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Solution

The fourth proportional to 10,325.50, 14,249.12 and 5,609.78 is: 7,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.50 : 14,249.12 = 5,609.78 : x
  2. Step 2: Convert to fraction form
    10,325.50/14,249.12 = 5,609.78/x
  3. Step 3: Cross multiply
    10,325.50x = 14,249.12 × 5,609.78
  4. Step 4: Simplify right side
    10,325.50x = 79,934,428.39
  5. Step 5: Solve for x
    x = 79,934,428.39/10,325.50
  6. Step 6: Final answer
    x = 7,741.46

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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.