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Finding the Fourth Proportional to 6,151.68, 8,486.34 and 4,162.92

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Solution

The fourth proportional to 6,151.68, 8,486.34 and 4,162.92 is: 5,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.68 : 8,486.34 = 4,162.92 : x
  2. Step 2: Convert to fraction form
    6,151.68/8,486.34 = 4,162.92/x
  3. Step 3: Cross multiply
    6,151.68x = 8,486.34 × 4,162.92
  4. Step 4: Simplify right side
    6,151.68x = 35,327,954.51
  5. Step 5: Solve for x
    x = 35,327,954.51/6,151.68
  6. Step 6: Final answer
    x = 5,742.81

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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.