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Finding the Fourth Proportional to 8,007.36, 11,057.76 and 7,571.04

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Solution

The fourth proportional to 8,007.36, 11,057.76 and 7,571.04 is: 10,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.36 : 11,057.76 = 7,571.04 : x
  2. Step 2: Convert to fraction form
    8,007.36/11,057.76 = 7,571.04/x
  3. Step 3: Cross multiply
    8,007.36x = 11,057.76 × 7,571.04
  4. Step 4: Simplify right side
    8,007.36x = 83,718,743.27
  5. Step 5: Solve for x
    x = 83,718,743.27/8,007.36
  6. Step 6: Final answer
    x = 10,455.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.