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Finding the Fourth Proportional to 7,731.50, 11,595.90 and 3,571.15

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Solution

The fourth proportional to 7,731.50, 11,595.90 and 3,571.15 is: 5,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.50 : 11,595.90 = 3,571.15 : x
  2. Step 2: Convert to fraction form
    7,731.50/11,595.90 = 3,571.15/x
  3. Step 3: Cross multiply
    7,731.50x = 11,595.90 × 3,571.15
  4. Step 4: Simplify right side
    7,731.50x = 41,410,698.29
  5. Step 5: Solve for x
    x = 41,410,698.29/7,731.50
  6. Step 6: Final answer
    x = 5,356.10

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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.