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Finding the Fourth Proportional to 10,459.54, 14,434.21 and 5,743.81

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Solution

The fourth proportional to 10,459.54, 14,434.21 and 5,743.81 is: 7,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.54 : 14,434.21 = 5,743.81 : x
  2. Step 2: Convert to fraction form
    10,459.54/14,434.21 = 5,743.81/x
  3. Step 3: Cross multiply
    10,459.54x = 14,434.21 × 5,743.81
  4. Step 4: Simplify right side
    10,459.54x = 82,907,359.74
  5. Step 5: Solve for x
    x = 82,907,359.74/10,459.54
  6. Step 6: Final answer
    x = 7,926.48

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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.