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Finding the Fourth Proportional to 7,687.29, 11,530.23 and 2,140.21

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Solution

The fourth proportional to 7,687.29, 11,530.23 and 2,140.21 is: 3,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.29 : 11,530.23 = 2,140.21 : x
  2. Step 2: Convert to fraction form
    7,687.29/11,530.23 = 2,140.21/x
  3. Step 3: Cross multiply
    7,687.29x = 11,530.23 × 2,140.21
  4. Step 4: Simplify right side
    7,687.29x = 24,677,113.55
  5. Step 5: Solve for x
    x = 24,677,113.55/7,687.29
  6. Step 6: Final answer
    x = 3,210.12

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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.