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Finding the Fourth Proportional to 8,940.48, 13,410.24 and 2,784

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Solution

The fourth proportional to 8,940.48, 13,410.24 and 2,784 is: 4,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.48 : 13,410.24 = 2,784 : x
  2. Step 2: Convert to fraction form
    8,940.48/13,410.24 = 2,784/x
  3. Step 3: Cross multiply
    8,940.48x = 13,410.24 × 2,784
  4. Step 4: Simplify right side
    8,940.48x = 37,334,108.16
  5. Step 5: Solve for x
    x = 37,334,108.16/8,940.48
  6. Step 6: Final answer
    x = 4,175.85

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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.