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Finding the Fourth Proportional to 10,604.97, 14,629.32 and 7,200.78

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Solution

The fourth proportional to 10,604.97, 14,629.32 and 7,200.78 is: 9,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.97 : 14,629.32 = 7,200.78 : x
  2. Step 2: Convert to fraction form
    10,604.97/14,629.32 = 7,200.78/x
  3. Step 3: Cross multiply
    10,604.97x = 14,629.32 × 7,200.78
  4. Step 4: Simplify right side
    10,604.97x = 105,342,514.87
  5. Step 5: Solve for x
    x = 105,342,514.87/10,604.97
  6. Step 6: Final answer
    x = 9,933.32

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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.