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Finding the Fourth Proportional to 10,880.64, 16,321.70 and 3,485.74

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Solution

The fourth proportional to 10,880.64, 16,321.70 and 3,485.74 is: 5,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.64 : 16,321.70 = 3,485.74 : x
  2. Step 2: Convert to fraction form
    10,880.64/16,321.70 = 3,485.74/x
  3. Step 3: Cross multiply
    10,880.64x = 16,321.70 × 3,485.74
  4. Step 4: Simplify right side
    10,880.64x = 56,893,202.56
  5. Step 5: Solve for x
    x = 56,893,202.56/10,880.64
  6. Step 6: Final answer
    x = 5,228.85

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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.