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Finding the Fourth Proportional to 7,698.91, 11,549.99 and 2,504.38

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Solution

The fourth proportional to 7,698.91, 11,549.99 and 2,504.38 is: 3,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.91 : 11,549.99 = 2,504.38 : x
  2. Step 2: Convert to fraction form
    7,698.91/11,549.99 = 2,504.38/x
  3. Step 3: Cross multiply
    7,698.91x = 11,549.99 × 2,504.38
  4. Step 4: Simplify right side
    7,698.91x = 28,925,563.96
  5. Step 5: Solve for x
    x = 28,925,563.96/7,698.91
  6. Step 6: Final answer
    x = 3,757.10

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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.