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Finding the Fourth Proportional to 10,805.79, 14,914.82 and 7,039.29

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Solution

The fourth proportional to 10,805.79, 14,914.82 and 7,039.29 is: 9,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.79 : 14,914.82 = 7,039.29 : x
  2. Step 2: Convert to fraction form
    10,805.79/14,914.82 = 7,039.29/x
  3. Step 3: Cross multiply
    10,805.79x = 14,914.82 × 7,039.29
  4. Step 4: Simplify right side
    10,805.79x = 104,989,708.08
  5. Step 5: Solve for x
    x = 104,989,708.08/10,805.79
  6. Step 6: Final answer
    x = 9,716.06

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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.