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Finding the Fourth Proportional to 7,686.27, 11,528.13 and 2,140.20

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Solution

The fourth proportional to 7,686.27, 11,528.13 and 2,140.20 is: 3,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.27 : 11,528.13 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    7,686.27/11,528.13 = 2,140.20/x
  3. Step 3: Cross multiply
    7,686.27x = 11,528.13 × 2,140.20
  4. Step 4: Simplify right side
    7,686.27x = 24,672,503.83
  5. Step 5: Solve for x
    x = 24,672,503.83/7,686.27
  6. Step 6: Final answer
    x = 3,209.94

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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.