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Finding the Fourth Proportional to 10,204.64, 15,311.04 and 4,660.60

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Solution

The fourth proportional to 10,204.64, 15,311.04 and 4,660.60 is: 6,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.64 : 15,311.04 = 4,660.60 : x
  2. Step 2: Convert to fraction form
    10,204.64/15,311.04 = 4,660.60/x
  3. Step 3: Cross multiply
    10,204.64x = 15,311.04 × 4,660.60
  4. Step 4: Simplify right side
    10,204.64x = 71,358,633.02
  5. Step 5: Solve for x
    x = 71,358,633.02/10,204.64
  6. Step 6: Final answer
    x = 6,992.76

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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.