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Finding the Fourth Proportional to 10,459.67, 14,434.00 and 5,743.64

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Solution

The fourth proportional to 10,459.67, 14,434.00 and 5,743.64 is: 7,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.67 : 14,434.00 = 5,743.64 : x
  2. Step 2: Convert to fraction form
    10,459.67/14,434.00 = 5,743.64/x
  3. Step 3: Cross multiply
    10,459.67x = 14,434.00 × 5,743.64
  4. Step 4: Simplify right side
    10,459.67x = 82,903,721.49
  5. Step 5: Solve for x
    x = 82,903,721.49/10,459.67
  6. Step 6: Final answer
    x = 7,926.04

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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.