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Finding the Fourth Proportional to 10,459.17, 14,433.99 and 5,743.56

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Solution

The fourth proportional to 10,459.17, 14,433.99 and 5,743.56 is: 7,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.17 : 14,433.99 = 5,743.56 : x
  2. Step 2: Convert to fraction form
    10,459.17/14,433.99 = 5,743.56/x
  3. Step 3: Cross multiply
    10,459.17x = 14,433.99 × 5,743.56
  4. Step 4: Simplify right side
    10,459.17x = 82,902,487.60
  5. Step 5: Solve for x
    x = 82,902,487.60/10,459.17
  6. Step 6: Final answer
    x = 7,926.30

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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.