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Finding the Fourth Proportional to 7,537.91, 10,402.94 and 4,181.81

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Solution

The fourth proportional to 7,537.91, 10,402.94 and 4,181.81 is: 5,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.91 : 10,402.94 = 4,181.81 : x
  2. Step 2: Convert to fraction form
    7,537.91/10,402.94 = 4,181.81/x
  3. Step 3: Cross multiply
    7,537.91x = 10,402.94 × 4,181.81
  4. Step 4: Simplify right side
    7,537.91x = 43,503,066.51
  5. Step 5: Solve for x
    x = 43,503,066.51/7,537.91
  6. Step 6: Final answer
    x = 5,771.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.