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Finding the Fourth Proportional to 7,666.54, 11,499.82 and 2,120.18

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Solution

The fourth proportional to 7,666.54, 11,499.82 and 2,120.18 is: 3,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.54 : 11,499.82 = 2,120.18 : x
  2. Step 2: Convert to fraction form
    7,666.54/11,499.82 = 2,120.18/x
  3. Step 3: Cross multiply
    7,666.54x = 11,499.82 × 2,120.18
  4. Step 4: Simplify right side
    7,666.54x = 24,381,637.49
  5. Step 5: Solve for x
    x = 24,381,637.49/7,666.54
  6. Step 6: Final answer
    x = 3,180.27

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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.