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Finding the Fourth Proportional to 10,447.64, 15,661.13 and 3,872.06

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Solution

The fourth proportional to 10,447.64, 15,661.13 and 3,872.06 is: 5,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.64 : 15,661.13 = 3,872.06 : x
  2. Step 2: Convert to fraction form
    10,447.64/15,661.13 = 3,872.06/x
  3. Step 3: Cross multiply
    10,447.64x = 15,661.13 × 3,872.06
  4. Step 4: Simplify right side
    10,447.64x = 60,640,737.36
  5. Step 5: Solve for x
    x = 60,640,737.36/10,447.64
  6. Step 6: Final answer
    x = 5,804.25

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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.