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Finding the Fourth Proportional to 7,699.76, 11,549.68 and 3,082.80

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Solution

The fourth proportional to 7,699.76, 11,549.68 and 3,082.80 is: 4,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.76 : 11,549.68 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    7,699.76/11,549.68 = 3,082.80/x
  3. Step 3: Cross multiply
    7,699.76x = 11,549.68 × 3,082.80
  4. Step 4: Simplify right side
    7,699.76x = 35,605,353.50
  5. Step 5: Solve for x
    x = 35,605,353.50/7,699.76
  6. Step 6: Final answer
    x = 4,624.22

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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.