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Finding the Fourth Proportional to 10,441.88, 14,409.74 and 5,661.78

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Solution

The fourth proportional to 10,441.88, 14,409.74 and 5,661.78 is: 7,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.88 : 14,409.74 = 5,661.78 : x
  2. Step 2: Convert to fraction form
    10,441.88/14,409.74 = 5,661.78/x
  3. Step 3: Cross multiply
    10,441.88x = 14,409.74 × 5,661.78
  4. Step 4: Simplify right side
    10,441.88x = 81,584,751.04
  5. Step 5: Solve for x
    x = 81,584,751.04/10,441.88
  6. Step 6: Final answer
    x = 7,813.22

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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.