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Finding the Fourth Proportional to 10,513.67, 15,770.45 and 3,494.21

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Solution

The fourth proportional to 10,513.67, 15,770.45 and 3,494.21 is: 5,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.67 : 15,770.45 = 3,494.21 : x
  2. Step 2: Convert to fraction form
    10,513.67/15,770.45 = 3,494.21/x
  3. Step 3: Cross multiply
    10,513.67x = 15,770.45 × 3,494.21
  4. Step 4: Simplify right side
    10,513.67x = 55,105,312.26
  5. Step 5: Solve for x
    x = 55,105,312.26/10,513.67
  6. Step 6: Final answer
    x = 5,241.30

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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.