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Finding the Fourth Proportional to 7,742.96, 11,614.43 and 1,899.51

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Solution

The fourth proportional to 7,742.96, 11,614.43 and 1,899.51 is: 2,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.96 : 11,614.43 = 1,899.51 : x
  2. Step 2: Convert to fraction form
    7,742.96/11,614.43 = 1,899.51/x
  3. Step 3: Cross multiply
    7,742.96x = 11,614.43 × 1,899.51
  4. Step 4: Simplify right side
    7,742.96x = 22,061,730.68
  5. Step 5: Solve for x
    x = 22,061,730.68/7,742.96
  6. Step 6: Final answer
    x = 2,849.26

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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.