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Finding the Fourth Proportional to 10,801.60, 16,202.40 and 4,645.60

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Solution

The fourth proportional to 10,801.60, 16,202.40 and 4,645.60 is: 6,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.60 : 16,202.40 = 4,645.60 : x
  2. Step 2: Convert to fraction form
    10,801.60/16,202.40 = 4,645.60/x
  3. Step 3: Cross multiply
    10,801.60x = 16,202.40 × 4,645.60
  4. Step 4: Simplify right side
    10,801.60x = 75,269,869.44
  5. Step 5: Solve for x
    x = 75,269,869.44/10,801.60
  6. Step 6: Final answer
    x = 6,968.40

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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.