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Finding the Fourth Proportional to 8,384.84, 11,571.56 and 4,658.84

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Solution

The fourth proportional to 8,384.84, 11,571.56 and 4,658.84 is: 6,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.84 : 11,571.56 = 4,658.84 : x
  2. Step 2: Convert to fraction form
    8,384.84/11,571.56 = 4,658.84/x
  3. Step 3: Cross multiply
    8,384.84x = 11,571.56 × 4,658.84
  4. Step 4: Simplify right side
    8,384.84x = 53,910,046.59
  5. Step 5: Solve for x
    x = 53,910,046.59/8,384.84
  6. Step 6: Final answer
    x = 6,429.47

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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.