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Finding the Fourth Proportional to 7,548.72, 11,324.16 and 2,355

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Solution

The fourth proportional to 7,548.72, 11,324.16 and 2,355 is: 3,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.72 : 11,324.16 = 2,355 : x
  2. Step 2: Convert to fraction form
    7,548.72/11,324.16 = 2,355/x
  3. Step 3: Cross multiply
    7,548.72x = 11,324.16 × 2,355
  4. Step 4: Simplify right side
    7,548.72x = 26,668,396.80
  5. Step 5: Solve for x
    x = 26,668,396.80/7,548.72
  6. Step 6: Final answer
    x = 3,532.84

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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.