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Finding the Fourth Proportional to 11,955.29, 16,492.05 and 7,705.22

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Solution

The fourth proportional to 11,955.29, 16,492.05 and 7,705.22 is: 10,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.29 : 16,492.05 = 7,705.22 : x
  2. Step 2: Convert to fraction form
    11,955.29/16,492.05 = 7,705.22/x
  3. Step 3: Cross multiply
    11,955.29x = 16,492.05 × 7,705.22
  4. Step 4: Simplify right side
    11,955.29x = 127,074,791.04
  5. Step 5: Solve for x
    x = 127,074,791.04/11,955.29
  6. Step 6: Final answer
    x = 10,629.17

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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.