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Finding the Fourth Proportional to 7,571.63, 11,357.54 and 2,377.50

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Solution

The fourth proportional to 7,571.63, 11,357.54 and 2,377.50 is: 3,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.63 : 11,357.54 = 2,377.50 : x
  2. Step 2: Convert to fraction form
    7,571.63/11,357.54 = 2,377.50/x
  3. Step 3: Cross multiply
    7,571.63x = 11,357.54 × 2,377.50
  4. Step 4: Simplify right side
    7,571.63x = 27,002,551.35
  5. Step 5: Solve for x
    x = 27,002,551.35/7,571.63
  6. Step 6: Final answer
    x = 3,566.28

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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.