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Finding the Fourth Proportional to 10,955.97, 16,434 and 3,561.06

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Solution

The fourth proportional to 10,955.97, 16,434 and 3,561.06 is: 5,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.97 : 16,434 = 3,561.06 : x
  2. Step 2: Convert to fraction form
    10,955.97/16,434 = 3,561.06/x
  3. Step 3: Cross multiply
    10,955.97x = 16,434 × 3,561.06
  4. Step 4: Simplify right side
    10,955.97x = 58,522,460.04
  5. Step 5: Solve for x
    x = 58,522,460.04/10,955.97
  6. Step 6: Final answer
    x = 5,341.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.