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Finding the Fourth Proportional to 7,660.50, 11,490.75 and 2,113.89

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Solution

The fourth proportional to 7,660.50, 11,490.75 and 2,113.89 is: 3,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.50 : 11,490.75 = 2,113.89 : x
  2. Step 2: Convert to fraction form
    7,660.50/11,490.75 = 2,113.89/x
  3. Step 3: Cross multiply
    7,660.50x = 11,490.75 × 2,113.89
  4. Step 4: Simplify right side
    7,660.50x = 24,290,181.52
  5. Step 5: Solve for x
    x = 24,290,181.52/7,660.50
  6. Step 6: Final answer
    x = 3,170.84

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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.