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Finding the Fourth Proportional to 7,655.31, 11,482.97 and 2,109.24

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Solution

The fourth proportional to 7,655.31, 11,482.97 and 2,109.24 is: 3,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.31 : 11,482.97 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    7,655.31/11,482.97 = 2,109.24/x
  3. Step 3: Cross multiply
    7,655.31x = 11,482.97 × 2,109.24
  4. Step 4: Simplify right side
    7,655.31x = 24,220,329.10
  5. Step 5: Solve for x
    x = 24,220,329.10/7,655.31
  6. Step 6: Final answer
    x = 3,163.86

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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.