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Finding the Fourth Proportional to 7,569.63, 11,356.26 and 2,375.50

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Solution

The fourth proportional to 7,569.63, 11,356.26 and 2,375.50 is: 3,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.63 : 11,356.26 = 2,375.50 : x
  2. Step 2: Convert to fraction form
    7,569.63/11,356.26 = 2,375.50/x
  3. Step 3: Cross multiply
    7,569.63x = 11,356.26 × 2,375.50
  4. Step 4: Simplify right side
    7,569.63x = 26,976,795.63
  5. Step 5: Solve for x
    x = 26,976,795.63/7,569.63
  6. Step 6: Final answer
    x = 3,563.82

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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.