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Finding the Fourth Proportional to 10,253.97, 15,361.61 and 5,858.19

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Solution

The fourth proportional to 10,253.97, 15,361.61 and 5,858.19 is: 8,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.97 : 15,361.61 = 5,858.19 : x
  2. Step 2: Convert to fraction form
    10,253.97/15,361.61 = 5,858.19/x
  3. Step 3: Cross multiply
    10,253.97x = 15,361.61 × 5,858.19
  4. Step 4: Simplify right side
    10,253.97x = 89,991,200.79
  5. Step 5: Solve for x
    x = 89,991,200.79/10,253.97
  6. Step 6: Final answer
    x = 8,776.23

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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.