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Finding the Fourth Proportional to 8,455.14, 11,668.02 and 4,677.96

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Solution

The fourth proportional to 8,455.14, 11,668.02 and 4,677.96 is: 6,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.14 : 11,668.02 = 4,677.96 : x
  2. Step 2: Convert to fraction form
    8,455.14/11,668.02 = 4,677.96/x
  3. Step 3: Cross multiply
    8,455.14x = 11,668.02 × 4,677.96
  4. Step 4: Simplify right side
    8,455.14x = 54,582,530.84
  5. Step 5: Solve for x
    x = 54,582,530.84/8,455.14
  6. Step 6: Final answer
    x = 6,455.54

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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.