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Finding the Fourth Proportional to 10,945.60, 16,420.80 and 3,548.80

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Solution

The fourth proportional to 10,945.60, 16,420.80 and 3,548.80 is: 5,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.60 : 16,420.80 = 3,548.80 : x
  2. Step 2: Convert to fraction form
    10,945.60/16,420.80 = 3,548.80/x
  3. Step 3: Cross multiply
    10,945.60x = 16,420.80 × 3,548.80
  4. Step 4: Simplify right side
    10,945.60x = 58,274,135.04
  5. Step 5: Solve for x
    x = 58,274,135.04/10,945.60
  6. Step 6: Final answer
    x = 5,323.98

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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.