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Finding the Fourth Proportional to 10,459.44, 14,434.13 and 5,743.82

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Solution

The fourth proportional to 10,459.44, 14,434.13 and 5,743.82 is: 7,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.44 : 14,434.13 = 5,743.82 : x
  2. Step 2: Convert to fraction form
    10,459.44/14,434.13 = 5,743.82/x
  3. Step 3: Cross multiply
    10,459.44x = 14,434.13 × 5,743.82
  4. Step 4: Simplify right side
    10,459.44x = 82,907,015.86
  5. Step 5: Solve for x
    x = 82,907,015.86/10,459.44
  6. Step 6: Final answer
    x = 7,926.53

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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.