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Finding the Fourth Proportional to 10,243.50, 14,131.86 and 7,561.14

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Solution

The fourth proportional to 10,243.50, 14,131.86 and 7,561.14 is: 10,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.50 : 14,131.86 = 7,561.14 : x
  2. Step 2: Convert to fraction form
    10,243.50/14,131.86 = 7,561.14/x
  3. Step 3: Cross multiply
    10,243.50x = 14,131.86 × 7,561.14
  4. Step 4: Simplify right side
    10,243.50x = 106,852,971.92
  5. Step 5: Solve for x
    x = 106,852,971.92/10,243.50
  6. Step 6: Final answer
    x = 10,431.30

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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.