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Finding the Fourth Proportional to 7,767.53, 11,652.84 and 2,220.93

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Solution

The fourth proportional to 7,767.53, 11,652.84 and 2,220.93 is: 3,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.53 : 11,652.84 = 2,220.93 : x
  2. Step 2: Convert to fraction form
    7,767.53/11,652.84 = 2,220.93/x
  3. Step 3: Cross multiply
    7,767.53x = 11,652.84 × 2,220.93
  4. Step 4: Simplify right side
    7,767.53x = 25,880,141.94
  5. Step 5: Solve for x
    x = 25,880,141.94/7,767.53
  6. Step 6: Final answer
    x = 3,331.84

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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.