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Finding the Fourth Proportional to 7,137.50, 10,699.14 and 3,438.68

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Solution

The fourth proportional to 7,137.50, 10,699.14 and 3,438.68 is: 5,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.50 : 10,699.14 = 3,438.68 : x
  2. Step 2: Convert to fraction form
    7,137.50/10,699.14 = 3,438.68/x
  3. Step 3: Cross multiply
    7,137.50x = 10,699.14 × 3,438.68
  4. Step 4: Simplify right side
    7,137.50x = 36,790,918.74
  5. Step 5: Solve for x
    x = 36,790,918.74/7,137.50
  6. Step 6: Final answer
    x = 5,154.59

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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.