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Finding the Fourth Proportional to 10,849.60, 16,271.20 and 4,273.60

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Solution

The fourth proportional to 10,849.60, 16,271.20 and 4,273.60 is: 6,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.60 : 16,271.20 = 4,273.60 : x
  2. Step 2: Convert to fraction form
    10,849.60/16,271.20 = 4,273.60/x
  3. Step 3: Cross multiply
    10,849.60x = 16,271.20 × 4,273.60
  4. Step 4: Simplify right side
    10,849.60x = 69,536,600.32
  5. Step 5: Solve for x
    x = 69,536,600.32/10,849.60
  6. Step 6: Final answer
    x = 6,409.14

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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.