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Finding the Fourth Proportional to 10,428.86, 14,388.17 and 7,241.31

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Solution

The fourth proportional to 10,428.86, 14,388.17 and 7,241.31 is: 9,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.86 : 14,388.17 = 7,241.31 : x
  2. Step 2: Convert to fraction form
    10,428.86/14,388.17 = 7,241.31/x
  3. Step 3: Cross multiply
    10,428.86x = 14,388.17 × 7,241.31
  4. Step 4: Simplify right side
    10,428.86x = 104,189,163.10
  5. Step 5: Solve for x
    x = 104,189,163.10/10,428.86
  6. Step 6: Final answer
    x = 9,990.46

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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.