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Finding the Fourth Proportional to 10,801.60, 16,189.60 and 4,561.60

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Solution

The fourth proportional to 10,801.60, 16,189.60 and 4,561.60 is: 6,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.60 : 16,189.60 = 4,561.60 : x
  2. Step 2: Convert to fraction form
    10,801.60/16,189.60 = 4,561.60/x
  3. Step 3: Cross multiply
    10,801.60x = 16,189.60 × 4,561.60
  4. Step 4: Simplify right side
    10,801.60x = 73,850,479.36
  5. Step 5: Solve for x
    x = 73,850,479.36/10,801.60
  6. Step 6: Final answer
    x = 6,836.99

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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.