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Finding the Fourth Proportional to 7,760.64, 11,644.04 and 2,830.60

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Solution

The fourth proportional to 7,760.64, 11,644.04 and 2,830.60 is: 4,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.64 : 11,644.04 = 2,830.60 : x
  2. Step 2: Convert to fraction form
    7,760.64/11,644.04 = 2,830.60/x
  3. Step 3: Cross multiply
    7,760.64x = 11,644.04 × 2,830.60
  4. Step 4: Simplify right side
    7,760.64x = 32,959,619.62
  5. Step 5: Solve for x
    x = 32,959,619.62/7,760.64
  6. Step 6: Final answer
    x = 4,247.02

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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.