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Finding the Fourth Proportional to 10,325.70, 14,249.31 and 5,609.94

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Solution

The fourth proportional to 10,325.70, 14,249.31 and 5,609.94 is: 7,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.70 : 14,249.31 = 5,609.94 : x
  2. Step 2: Convert to fraction form
    10,325.70/14,249.31 = 5,609.94/x
  3. Step 3: Cross multiply
    10,325.70x = 14,249.31 × 5,609.94
  4. Step 4: Simplify right side
    10,325.70x = 79,937,774.14
  5. Step 5: Solve for x
    x = 79,937,774.14/10,325.70
  6. Step 6: Final answer
    x = 7,741.63

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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.