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Finding the Fourth Proportional to 7,429.80, 10,256.42 and 4,744.54

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Solution

The fourth proportional to 7,429.80, 10,256.42 and 4,744.54 is: 6,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.80 : 10,256.42 = 4,744.54 : x
  2. Step 2: Convert to fraction form
    7,429.80/10,256.42 = 4,744.54/x
  3. Step 3: Cross multiply
    7,429.80x = 10,256.42 × 4,744.54
  4. Step 4: Simplify right side
    7,429.80x = 48,661,976.36
  5. Step 5: Solve for x
    x = 48,661,976.36/7,429.80
  6. Step 6: Final answer
    x = 6,549.57

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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.