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Finding the Fourth Proportional to 8,356.36, 12,537.78 and 3,428.32

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Solution

The fourth proportional to 8,356.36, 12,537.78 and 3,428.32 is: 5,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.36 : 12,537.78 = 3,428.32 : x
  2. Step 2: Convert to fraction form
    8,356.36/12,537.78 = 3,428.32/x
  3. Step 3: Cross multiply
    8,356.36x = 12,537.78 × 3,428.32
  4. Step 4: Simplify right side
    8,356.36x = 42,983,521.93
  5. Step 5: Solve for x
    x = 42,983,521.93/8,356.36
  6. Step 6: Final answer
    x = 5,143.81

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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.