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Finding the Fourth Proportional to 7,509.62, 11,261.21 and 2,579.75

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Solution

The fourth proportional to 7,509.62, 11,261.21 and 2,579.75 is: 3,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.62 : 11,261.21 = 2,579.75 : x
  2. Step 2: Convert to fraction form
    7,509.62/11,261.21 = 2,579.75/x
  3. Step 3: Cross multiply
    7,509.62x = 11,261.21 × 2,579.75
  4. Step 4: Simplify right side
    7,509.62x = 29,051,106.50
  5. Step 5: Solve for x
    x = 29,051,106.50/7,509.62
  6. Step 6: Final answer
    x = 3,868.52

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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.