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Finding the Fourth Proportional to 7,644.09, 10,550.71 and 4,661.56

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Solution

The fourth proportional to 7,644.09, 10,550.71 and 4,661.56 is: 6,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.09 : 10,550.71 = 4,661.56 : x
  2. Step 2: Convert to fraction form
    7,644.09/10,550.71 = 4,661.56/x
  3. Step 3: Cross multiply
    7,644.09x = 10,550.71 × 4,661.56
  4. Step 4: Simplify right side
    7,644.09x = 49,182,767.71
  5. Step 5: Solve for x
    x = 49,182,767.71/7,644.09
  6. Step 6: Final answer
    x = 6,434.09

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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.