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Finding the Fourth Proportional to 8,291.49, 12,429.41 and 4,127.56

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Solution

The fourth proportional to 8,291.49, 12,429.41 and 4,127.56 is: 6,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.49 : 12,429.41 = 4,127.56 : x
  2. Step 2: Convert to fraction form
    8,291.49/12,429.41 = 4,127.56/x
  3. Step 3: Cross multiply
    8,291.49x = 12,429.41 × 4,127.56
  4. Step 4: Simplify right side
    8,291.49x = 51,303,135.54
  5. Step 5: Solve for x
    x = 51,303,135.54/8,291.49
  6. Step 6: Final answer
    x = 6,187.44

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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.