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Finding the Fourth Proportional to 7,267.50, 10,900.69 and 4,137.68

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Solution

The fourth proportional to 7,267.50, 10,900.69 and 4,137.68 is: 6,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.50 : 10,900.69 = 4,137.68 : x
  2. Step 2: Convert to fraction form
    7,267.50/10,900.69 = 4,137.68/x
  3. Step 3: Cross multiply
    7,267.50x = 10,900.69 × 4,137.68
  4. Step 4: Simplify right side
    7,267.50x = 45,103,567.00
  5. Step 5: Solve for x
    x = 45,103,567.00/7,267.50
  6. Step 6: Final answer
    x = 6,206.20

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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.