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Finding the Fourth Proportional to 10,883.50, 16,325.43 and 4,727.50

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Solution

The fourth proportional to 10,883.50, 16,325.43 and 4,727.50 is: 7,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.50 : 16,325.43 = 4,727.50 : x
  2. Step 2: Convert to fraction form
    10,883.50/16,325.43 = 4,727.50/x
  3. Step 3: Cross multiply
    10,883.50x = 16,325.43 × 4,727.50
  4. Step 4: Simplify right side
    10,883.50x = 77,178,470.33
  5. Step 5: Solve for x
    x = 77,178,470.33/10,883.50
  6. Step 6: Final answer
    x = 7,091.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.