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Finding the Fourth Proportional to 7,728.28, 11,597.60 and 3,047.76

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Solution

The fourth proportional to 7,728.28, 11,597.60 and 3,047.76 is: 4,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.28 : 11,597.60 = 3,047.76 : x
  2. Step 2: Convert to fraction form
    7,728.28/11,597.60 = 3,047.76/x
  3. Step 3: Cross multiply
    7,728.28x = 11,597.60 × 3,047.76
  4. Step 4: Simplify right side
    7,728.28x = 35,346,709.00
  5. Step 5: Solve for x
    x = 35,346,709.00/7,728.28
  6. Step 6: Final answer
    x = 4,573.69

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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.