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Finding the Fourth Proportional to 8,455.84, 11,664.24 and 4,918.64

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Solution

The fourth proportional to 8,455.84, 11,664.24 and 4,918.64 is: 6,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.84 : 11,664.24 = 4,918.64 : x
  2. Step 2: Convert to fraction form
    8,455.84/11,664.24 = 4,918.64/x
  3. Step 3: Cross multiply
    8,455.84x = 11,664.24 × 4,918.64
  4. Step 4: Simplify right side
    8,455.84x = 57,372,197.43
  5. Step 5: Solve for x
    x = 57,372,197.43/8,455.84
  6. Step 6: Final answer
    x = 6,784.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.