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Finding the Fourth Proportional to 12,550.72, 17,315.76 and 7,833.28

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Solution

The fourth proportional to 12,550.72, 17,315.76 and 7,833.28 is: 10,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550.72 : 17,315.76 = 7,833.28 : x
  2. Step 2: Convert to fraction form
    12,550.72/17,315.76 = 7,833.28/x
  3. Step 3: Cross multiply
    12,550.72x = 17,315.76 × 7,833.28
  4. Step 4: Simplify right side
    12,550.72x = 135,639,196.49
  5. Step 5: Solve for x
    x = 135,639,196.49/12,550.72
  6. Step 6: Final answer
    x = 10,807.28

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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.