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Finding the Fourth Proportional to 7,537.50, 11,308.62 and 3,381

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Solution

The fourth proportional to 7,537.50, 11,308.62 and 3,381 is: 5,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.50 : 11,308.62 = 3,381 : x
  2. Step 2: Convert to fraction form
    7,537.50/11,308.62 = 3,381/x
  3. Step 3: Cross multiply
    7,537.50x = 11,308.62 × 3,381
  4. Step 4: Simplify right side
    7,537.50x = 38,234,444.22
  5. Step 5: Solve for x
    x = 38,234,444.22/7,537.50
  6. Step 6: Final answer
    x = 5,072.56

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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.