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Finding the Fourth Proportional to 7,829.28, 11,736.02 and 4,909.64

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Solution

The fourth proportional to 7,829.28, 11,736.02 and 4,909.64 is: 7,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.28 : 11,736.02 = 4,909.64 : x
  2. Step 2: Convert to fraction form
    7,829.28/11,736.02 = 4,909.64/x
  3. Step 3: Cross multiply
    7,829.28x = 11,736.02 × 4,909.64
  4. Step 4: Simplify right side
    7,829.28x = 57,619,633.23
  5. Step 5: Solve for x
    x = 57,619,633.23/7,829.28
  6. Step 6: Final answer
    x = 7,359.51

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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.