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Finding the Fourth Proportional to 7,742.51, 11,613.81 and 1,899.11

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Solution

The fourth proportional to 7,742.51, 11,613.81 and 1,899.11 is: 2,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.51 : 11,613.81 = 1,899.11 : x
  2. Step 2: Convert to fraction form
    7,742.51/11,613.81 = 1,899.11/x
  3. Step 3: Cross multiply
    7,742.51x = 11,613.81 × 1,899.11
  4. Step 4: Simplify right side
    7,742.51x = 22,055,893.21
  5. Step 5: Solve for x
    x = 22,055,893.21/7,742.51
  6. Step 6: Final answer
    x = 2,848.68

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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.