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Finding the Fourth Proportional to 7,697.62, 11,544 and 3,313.90

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Solution

The fourth proportional to 7,697.62, 11,544 and 3,313.90 is: 4,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.62 : 11,544 = 3,313.90 : x
  2. Step 2: Convert to fraction form
    7,697.62/11,544 = 3,313.90/x
  3. Step 3: Cross multiply
    7,697.62x = 11,544 × 3,313.90
  4. Step 4: Simplify right side
    7,697.62x = 38,255,661.60
  5. Step 5: Solve for x
    x = 38,255,661.60/7,697.62
  6. Step 6: Final answer
    x = 4,969.80

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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.