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Finding the Fourth Proportional to 8,123.49, 12,187.06 and 2,577.17

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Solution

The fourth proportional to 8,123.49, 12,187.06 and 2,577.17 is: 3,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.49 : 12,187.06 = 2,577.17 : x
  2. Step 2: Convert to fraction form
    8,123.49/12,187.06 = 2,577.17/x
  3. Step 3: Cross multiply
    8,123.49x = 12,187.06 × 2,577.17
  4. Step 4: Simplify right side
    8,123.49x = 31,408,080.89
  5. Step 5: Solve for x
    x = 31,408,080.89/8,123.49
  6. Step 6: Final answer
    x = 3,866.33

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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.