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Finding the Fourth Proportional to 10,459.44, 14,433.76 and 5,743.60

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Solution

The fourth proportional to 10,459.44, 14,433.76 and 5,743.60 is: 7,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.44 : 14,433.76 = 5,743.60 : x
  2. Step 2: Convert to fraction form
    10,459.44/14,433.76 = 5,743.60/x
  3. Step 3: Cross multiply
    10,459.44x = 14,433.76 × 5,743.60
  4. Step 4: Simplify right side
    10,459.44x = 82,901,743.94
  5. Step 5: Solve for x
    x = 82,901,743.94/10,459.44
  6. Step 6: Final answer
    x = 7,926.02

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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.