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Finding the Fourth Proportional to 6,187.68, 8,536.96 and 3,534.56

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Solution

The fourth proportional to 6,187.68, 8,536.96 and 3,534.56 is: 4,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.68 : 8,536.96 = 3,534.56 : x
  2. Step 2: Convert to fraction form
    6,187.68/8,536.96 = 3,534.56/x
  3. Step 3: Cross multiply
    6,187.68x = 8,536.96 × 3,534.56
  4. Step 4: Simplify right side
    6,187.68x = 30,174,397.34
  5. Step 5: Solve for x
    x = 30,174,397.34/6,187.68
  6. Step 6: Final answer
    x = 4,876.53

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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.