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Finding the Fourth Proportional to 7,571.94, 10,446.38 and 5,587.23

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Solution

The fourth proportional to 7,571.94, 10,446.38 and 5,587.23 is: 7,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.94 : 10,446.38 = 5,587.23 : x
  2. Step 2: Convert to fraction form
    7,571.94/10,446.38 = 5,587.23/x
  3. Step 3: Cross multiply
    7,571.94x = 10,446.38 × 5,587.23
  4. Step 4: Simplify right side
    7,571.94x = 58,366,299.79
  5. Step 5: Solve for x
    x = 58,366,299.79/7,571.94
  6. Step 6: Final answer
    x = 7,708.24

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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.