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Finding the Fourth Proportional to 7,842.68, 11,767.08 and 3,457.04

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Solution

The fourth proportional to 7,842.68, 11,767.08 and 3,457.04 is: 5,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.68 : 11,767.08 = 3,457.04 : x
  2. Step 2: Convert to fraction form
    7,842.68/11,767.08 = 3,457.04/x
  3. Step 3: Cross multiply
    7,842.68x = 11,767.08 × 3,457.04
  4. Step 4: Simplify right side
    7,842.68x = 40,679,266.24
  5. Step 5: Solve for x
    x = 40,679,266.24/7,842.68
  6. Step 6: Final answer
    x = 5,186.91

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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.