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Finding the Fourth Proportional to 11,644.80, 16,069.56 and 6,339.60

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Solution

The fourth proportional to 11,644.80, 16,069.56 and 6,339.60 is: 8,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.80 : 16,069.56 = 6,339.60 : x
  2. Step 2: Convert to fraction form
    11,644.80/16,069.56 = 6,339.60/x
  3. Step 3: Cross multiply
    11,644.80x = 16,069.56 × 6,339.60
  4. Step 4: Simplify right side
    11,644.80x = 101,874,582.58
  5. Step 5: Solve for x
    x = 101,874,582.58/11,644.80
  6. Step 6: Final answer
    x = 8,748.50

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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.