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Finding the Fourth Proportional to 6,172.82, 8,461.34 and 6,089.75

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Solution

The fourth proportional to 6,172.82, 8,461.34 and 6,089.75 is: 8,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.82 : 8,461.34 = 6,089.75 : x
  2. Step 2: Convert to fraction form
    6,172.82/8,461.34 = 6,089.75/x
  3. Step 3: Cross multiply
    6,172.82x = 8,461.34 × 6,089.75
  4. Step 4: Simplify right side
    6,172.82x = 51,527,372.51
  5. Step 5: Solve for x
    x = 51,527,372.51/6,172.82
  6. Step 6: Final answer
    x = 8,347.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.