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Finding the Fourth Proportional to 10,786.84, 14,887.74 and 10,294.36

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Solution

The fourth proportional to 10,786.84, 14,887.74 and 10,294.36 is: 14,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.84 : 14,887.74 = 10,294.36 : x
  2. Step 2: Convert to fraction form
    10,786.84/14,887.74 = 10,294.36/x
  3. Step 3: Cross multiply
    10,786.84x = 14,887.74 × 10,294.36
  4. Step 4: Simplify right side
    10,786.84x = 153,259,755.15
  5. Step 5: Solve for x
    x = 153,259,755.15/10,786.84
  6. Step 6: Final answer
    x = 14,208.03

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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.