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Finding the Fourth Proportional to 10,550.64, 15,833.75 and 5,003.97

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Solution

The fourth proportional to 10,550.64, 15,833.75 and 5,003.97 is: 7,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.64 : 15,833.75 = 5,003.97 : x
  2. Step 2: Convert to fraction form
    10,550.64/15,833.75 = 5,003.97/x
  3. Step 3: Cross multiply
    10,550.64x = 15,833.75 × 5,003.97
  4. Step 4: Simplify right side
    10,550.64x = 79,231,584.97
  5. Step 5: Solve for x
    x = 79,231,584.97/10,550.64
  6. Step 6: Final answer
    x = 7,509.65

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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.