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Finding the Fourth Proportional to 7,618.82, 11,426.84 and 3,457.84

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Solution

The fourth proportional to 7,618.82, 11,426.84 and 3,457.84 is: 5,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.82 : 11,426.84 = 3,457.84 : x
  2. Step 2: Convert to fraction form
    7,618.82/11,426.84 = 3,457.84/x
  3. Step 3: Cross multiply
    7,618.82x = 11,426.84 × 3,457.84
  4. Step 4: Simplify right side
    7,618.82x = 39,512,184.43
  5. Step 5: Solve for x
    x = 39,512,184.43/7,618.82
  6. Step 6: Final answer
    x = 5,186.13

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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.