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Finding the Fourth Proportional to 7,567.50, 11,351.37 and 2,095.50

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Solution

The fourth proportional to 7,567.50, 11,351.37 and 2,095.50 is: 3,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.50 : 11,351.37 = 2,095.50 : x
  2. Step 2: Convert to fraction form
    7,567.50/11,351.37 = 2,095.50/x
  3. Step 3: Cross multiply
    7,567.50x = 11,351.37 × 2,095.50
  4. Step 4: Simplify right side
    7,567.50x = 23,786,795.84
  5. Step 5: Solve for x
    x = 23,786,795.84/7,567.50
  6. Step 6: Final answer
    x = 3,143.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.