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Finding the Fourth Proportional to 7,749.18, 10,694.07 and 4,562.64

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Solution

The fourth proportional to 7,749.18, 10,694.07 and 4,562.64 is: 6,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.18 : 10,694.07 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    7,749.18/10,694.07 = 4,562.64/x
  3. Step 3: Cross multiply
    7,749.18x = 10,694.07 × 4,562.64
  4. Step 4: Simplify right side
    7,749.18x = 48,793,191.54
  5. Step 5: Solve for x
    x = 48,793,191.54/7,749.18
  6. Step 6: Final answer
    x = 6,296.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.