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Finding the Fourth Proportional to 10,771.60, 16,157.34 and 2,980.40

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Solution

The fourth proportional to 10,771.60, 16,157.34 and 2,980.40 is: 4,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.60 : 16,157.34 = 2,980.40 : x
  2. Step 2: Convert to fraction form
    10,771.60/16,157.34 = 2,980.40/x
  3. Step 3: Cross multiply
    10,771.60x = 16,157.34 × 2,980.40
  4. Step 4: Simplify right side
    10,771.60x = 48,155,336.14
  5. Step 5: Solve for x
    x = 48,155,336.14/10,771.60
  6. Step 6: Final answer
    x = 4,470.58

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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.