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Finding the Fourth Proportional to 7,686.61, 11,529.23 and 2,140.06

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Solution

The fourth proportional to 7,686.61, 11,529.23 and 2,140.06 is: 3,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.61 : 11,529.23 = 2,140.06 : x
  2. Step 2: Convert to fraction form
    7,686.61/11,529.23 = 2,140.06/x
  3. Step 3: Cross multiply
    7,686.61x = 11,529.23 × 2,140.06
  4. Step 4: Simplify right side
    7,686.61x = 24,673,243.95
  5. Step 5: Solve for x
    x = 24,673,243.95/7,686.61
  6. Step 6: Final answer
    x = 3,209.90

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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.