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Finding the Fourth Proportional to 10,604.22, 14,644.71 and 7,947.42

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Solution

The fourth proportional to 10,604.22, 14,644.71 and 7,947.42 is: 10,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.22 : 14,644.71 = 7,947.42 : x
  2. Step 2: Convert to fraction form
    10,604.22/14,644.71 = 7,947.42/x
  3. Step 3: Cross multiply
    10,604.22x = 14,644.71 × 7,947.42
  4. Step 4: Simplify right side
    10,604.22x = 116,387,661.15
  5. Step 5: Solve for x
    x = 116,387,661.15/10,604.22
  6. Step 6: Final answer
    x = 10,975.60

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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.