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Finding the Fourth Proportional to 7,707, 11,560.50 and 2,513.28

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Solution

The fourth proportional to 7,707, 11,560.50 and 2,513.28 is: 3,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 11,560.50 = 2,513.28 : x
  2. Step 2: Convert to fraction form
    7,707/11,560.50 = 2,513.28/x
  3. Step 3: Cross multiply
    7,707x = 11,560.50 × 2,513.28
  4. Step 4: Simplify right side
    7,707x = 29,054,773.44
  5. Step 5: Solve for x
    x = 29,054,773.44/7,707
  6. Step 6: Final answer
    x = 3,769.92

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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.