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Finding the Fourth Proportional to 7,711.58, 11,567.37 and 2,165.51

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Solution

The fourth proportional to 7,711.58, 11,567.37 and 2,165.51 is: 3,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.58 : 11,567.37 = 2,165.51 : x
  2. Step 2: Convert to fraction form
    7,711.58/11,567.37 = 2,165.51/x
  3. Step 3: Cross multiply
    7,711.58x = 11,567.37 × 2,165.51
  4. Step 4: Simplify right side
    7,711.58x = 25,049,255.41
  5. Step 5: Solve for x
    x = 25,049,255.41/7,711.58
  6. Step 6: Final answer
    x = 3,248.27

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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.