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Finding the Fourth Proportional to 7,467.70, 11,201.55 and 2,542.90

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Solution

The fourth proportional to 7,467.70, 11,201.55 and 2,542.90 is: 3,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.70 : 11,201.55 = 2,542.90 : x
  2. Step 2: Convert to fraction form
    7,467.70/11,201.55 = 2,542.90/x
  3. Step 3: Cross multiply
    7,467.70x = 11,201.55 × 2,542.90
  4. Step 4: Simplify right side
    7,467.70x = 28,484,421.50
  5. Step 5: Solve for x
    x = 28,484,421.50/7,467.70
  6. Step 6: Final answer
    x = 3,814.35

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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.