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Finding the Fourth Proportional to 10,744.68, 14,834.54 and 8,760

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Solution

The fourth proportional to 10,744.68, 14,834.54 and 8,760 is: 12,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.68 : 14,834.54 = 8,760 : x
  2. Step 2: Convert to fraction form
    10,744.68/14,834.54 = 8,760/x
  3. Step 3: Cross multiply
    10,744.68x = 14,834.54 × 8,760
  4. Step 4: Simplify right side
    10,744.68x = 129,950,570.40
  5. Step 5: Solve for x
    x = 129,950,570.40/10,744.68
  6. Step 6: Final answer
    x = 12,094.41

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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.