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Finding the Fourth Proportional to 8,623.64, 12,935.50 and 3,429.50

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Solution

The fourth proportional to 8,623.64, 12,935.50 and 3,429.50 is: 5,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.64 : 12,935.50 = 3,429.50 : x
  2. Step 2: Convert to fraction form
    8,623.64/12,935.50 = 3,429.50/x
  3. Step 3: Cross multiply
    8,623.64x = 12,935.50 × 3,429.50
  4. Step 4: Simplify right side
    8,623.64x = 44,362,297.25
  5. Step 5: Solve for x
    x = 44,362,297.25/8,623.64
  6. Step 6: Final answer
    x = 5,144.27

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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.