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Finding the Fourth Proportional to 11,057.60, 16,586.40 and 10,212.80

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Solution

The fourth proportional to 11,057.60, 16,586.40 and 10,212.80 is: 15,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.60 : 16,586.40 = 10,212.80 : x
  2. Step 2: Convert to fraction form
    11,057.60/16,586.40 = 10,212.80/x
  3. Step 3: Cross multiply
    11,057.60x = 16,586.40 × 10,212.80
  4. Step 4: Simplify right side
    11,057.60x = 169,393,585.92
  5. Step 5: Solve for x
    x = 169,393,585.92/11,057.60
  6. Step 6: Final answer
    x = 15,319.20

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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.