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Finding the Fourth Proportional to 7,711.90, 11,567.25 and 2,165.02

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Solution

The fourth proportional to 7,711.90, 11,567.25 and 2,165.02 is: 3,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.90 : 11,567.25 = 2,165.02 : x
  2. Step 2: Convert to fraction form
    7,711.90/11,567.25 = 2,165.02/x
  3. Step 3: Cross multiply
    7,711.90x = 11,567.25 × 2,165.02
  4. Step 4: Simplify right side
    7,711.90x = 25,043,327.60
  5. Step 5: Solve for x
    x = 25,043,327.60/7,711.90
  6. Step 6: Final answer
    x = 3,247.36

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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.